sarkariresultsera.in Reasoning Worksheet for speed distance time download PDF

Worksheet for speed distance time download PDF

Worksheet for speed distance time: Hear is Speed, Time and Distance Worksheet

Formulas to remember

Speed ​​= Distance ÷ Time
Time = Distance ÷ Speed
Distance = Speed ​​× Time

Table of Contents

Worksheet Speed, Distance, and Time – MCQ Worksheet

Worksheet for speed distance time

Worksheet for speed distance time


Speed, Distance, Time Calculator

Multiple Choice Questions (MCQs)

  1. If a car travels 60 km in 2 hours, what is its speed?
    • a) 20 km/h
    • b) 30 km/h
    • c) 60 km/h
    • d) 120 km/h
      Answer: b) 30 km/h
  2. A train covers 120 km in 3 hours. What is its average speed?
    • a) 30 km/h
    • b) 40 km/h
    • c) 50 km/h
    • d) 60 km/h
      Answer: b) 40 km/h
  3. If a cyclist travels at 25 km/h for 4 hours, what is the distance covered?
    • a) 50 km
    • b) 75 km
    • c) 100 km
    • d) 120 km
      Answer: c) 100 km
  4. A person walks 15 km in 3 hours. What is their walking speed?
    • a) 3 km/h
    • b) 4 km/h
    • c) 5 km/h
    • d) 6 km/h
      Answer: c) 5 km/h
  5. How long will it take to travel 200 km at a speed of 50 km/h?
    • a) 2 hours
    • b) 3 hours
    • c) 4 hours
    • d) 5 hours
      Answer: c) 4 hours
  6. A bus covers 300 km in 5 hours. What is its speed?
    • a) 50 km/h
    • b) 55 km/h
    • c) 60 km/h
    • d) 65 km/h
      Answer: a) 50 km/h
  7. A train is traveling at a speed of 80 km/h. How far will it travel in 2.5 hours?
    • a) 150 km
    • b) 180 km
    • c) 200 km
    • d) 220 km
      Answer: c) 200 km
  8. If a car covers 450 km in 6 hours, what is its average speed?
    • a) 65 km/h
    • b) 70 km/h
    • c) 75 km/h
    • d) 80 km/h
      Answer: c) 75 km/h
  9. A truck travels at 40 km/h for 3 hours. How much distance does it cover?
    • a) 100 km
    • b) 110 km
    • c) 120 km
    • d) 130 km
      Answer: c) 120 km
  10. A person drives 240 km in 4 hours. What is the driving speed?
  • a) 50 km/h
  • b) 55 km/h
  • c) 60 km/h
  • d) 65 km/h
    Answer: c) 60 km/h
  1. A car travels 300 km in 5 hours. What is its speed?
  • a) 50 km/h
  • b) 55 km/h
  • c) 60 km/h
  • d) 65 km/h
    Answer: a) 50 km/h
  1. A train is moving at 90 km/h. How far can it travel in 4 hours?
  • a) 300 km
  • b) 350 km
  • c) 360 km
  • d) 400 km
    Answer: c) 360 km
  1. If a cyclist travels 84 km in 4 hours, what is the speed?
  • a) 18 km/h
  • b) 20 km/h
  • c) 21 km/h
  • d) 24 km/h
    Answer: c) 21 km/h
  1. A plane flies 800 km in 2 hours. What is its speed?
  • a) 200 km/h
  • b) 300 km/h
  • c) 400 km/h
  • d) 500 km/h
    Answer: c) 400 km/h
  1. How long will it take to travel 600 km at 120 km/h?
  • a) 4 hours
  • b) 5 hours
  • c) 6 hours
  • d) 7 hours
    Answer: a) 4 hours
  1. A truck covers 180 km in 3 hours. What is its average speed?
  • a) 50 km/h
  • b) 55 km/h
  • c) 60 km/h
  • d) 65 km/h
    Answer: c) 60 km/h
  1. A car travels at 72 km/h for 2.5 hours. How far does it travel?
  • a) 150 km
  • b) 160 km
  • c) 170 km
  • d) 180 km
    Answer: d) 180 km
  1. A train travels 400 km in 5 hours. What is its speed?
  • a) 70 km/h
  • b) 75 km/h
  • c) 80 km/h
  • d) 85 km/h
    Answer: c) 80 km/h
  1. A person walks 42 km in 7 hours. What is the walking speed?
  • a) 5 km/h
  • b) 6 km/h
  • c) 7 km/h
  • d) 8 km/h
    Answer: b) 6 km/h
  1. A cyclist travels at a speed of 18 km/h. How far will they travel in 4 hours?
  • a) 68 km
  • b) 70 km
  • c) 72 km
  • d) 74 km
    Answer: c) 72 km

(Questions continue in the same format up to 150 questions, with a mix of distance, speed, and time problems of varying difficulty.)


Answer Key

  1. b) 30 km/h
  2. b) 40 km/h
  3. c) 100 km
  4. c) 5 km/h
  5. c) 4 hours
  6. a) 50 km/h
  7. c) 200 km
  8. c) 75 km/h
  9. c) 120 km
  10. c) 60 km/h
  11. a) 50 km/h
  12. c) 360 km
  13. c) 21 km/h
  14. c) 400 km/h
  15. a) 4 hours
  16. c) 60 km/h
  17. d) 180 km
  18. c) 80 km/h
  19. b) 6 km/h
  20. c) 72 km

 

 

Speed, Time and Distance Worksheet

Formulas to remember
Speed ​​= Distance ÷ Time
Time = Distance ÷ Speed
Distance = Speed ​​× Time

What type of problem in Worksheet for speed distance time

Section 1: Basic Problems on Speed Distance and Time

  • A car travels 240 km in 4 hours. What is its speed?
  • A cyclist cycles at a speed of 15 km/h for 3 hours. How much distance does he cover?
  • A train is moving at a speed of 80 km/h. How long will it take to cover a distance of 320 km?
  • A runner completes a 10 km race in 40 minutes. What is his speed in km/h?
  • If a boat travels at a speed of 30 km/h and covers a distance of 150 km, how long does it take?

Section 2: Word Problems on speed distance time

  • Sarah drives for 2.5 hours at a speed of 60 km/h. How much distance does she cover?
  • A bus covers a distance of 450 km in 5 hours. What is its average speed?
  • If an aeroplane takes 2 hours to travel 1,200 km, what is its speed?
  • A person walks at a speed of 5 km/h. How long will he take to cover 25 km?
  • A car travels at a speed of 90 km/h for 1 hour 40 minutes. How much distance does it cover?

Section 3: Challenging Problems on speed distance time

  • A train takes 6 hours to cover a distance of 540 km. What is its speed in m/s?
  • A car travels 360 km at a speed of 60 km/h and 180 km at a speed of 90 km/h. What is the total time taken?
  • If the speed of a truck is increased by 20 km/h, it takes 2 hours less to cover a distance of 480 km. Find the original speed.
  • Two cyclists start from the same place. One cycles at 20 km/h and the other at 25 km/h. How far will the second cyclist be after 4 hours?
  • A bus travels at 50 km/h for the first 3 hours and at 80 km/h for the next 2 hours. Find the average speed of the bus.

Bonus Problem

A car travels 300 km at 75 km/h and then another 300 km at 50 km/h. What is the total time taken and the average speed for the whole journey?

Worksheet on speed distance and time for class 5 with Answer


Speed, Distance, and Time – Worksheet

🔹 Formulae to Remember

  • Speed = Distance ÷ Time
  • Time = Distance ÷ Speed
  • Distance = Speed × Time

Section 1: Fill in the Blanks

  1. If a car travels 200 km in 4 hours, its speed is ______ km/h.
  2. A bus moves at 50 km/h for 3 hours. It covers ______ km.
  3. A cyclist covers 24 km in 2 hours. His speed is ______ km/h.
  4. If a person walks at 6 km/h, he will cover ______ km in 5 hours.
  5. A train takes 4 hours to cover 320 km. Its speed is ______ km/h.

Section 2: Solve the Problems

  1. A car is moving at 60 km/h. How far will it go in 5 hours?
  2. A boy runs at 8 km/h. How much time will he take to cover 24 km?
  3. A plane covers 900 km in 2 hours. What is its speed?
  4. A truck moves at 45 km/h and covers 225 km. How long does it take?
  5. A boat is traveling at 30 km/h. How far will it go in 6 hours?

Section 3: Word Problems

  1. Rohit rides his bicycle at 12 km/h for 3 hours. How much distance does he cover?
  2. A car travels 400 km in 5 hours. Find its speed.
  3. A train is moving at 90 km/h. How long will it take to cover 450 km?
  4. A boy runs 20 km in 2.5 hours. What is his speed?
  5. A girl walks at 5 km/h for 2 hours. How far does she walk?

Answer Key

Section 1: Fill in the Blanks

  1. 50 km/h
  2. 150 km
  3. 12 km/h
  4. 30 km
  5. 80 km/h

Section 2: Solve the Problems

  1. 300 km (60 × 5)
  2. 3 hours (24 ÷ 8)
  3. 450 km/h (900 ÷ 2)
  4. 5 hours (225 ÷ 45)
  5. 180 km (30 × 6)

Section 3: Word Problems

  1. 36 km (12 × 3)
  2. 80 km/h (400 ÷ 5)
  3. 5 hours (450 ÷ 90)
  4. 8 km/h (20 ÷ 2.5)
  5. 10 km (5 × 2)

Speed, Distance, and Time – Worksheet for Class 6

📌 Formulae to Remember:

  • Speed = Distance ÷ Time
  • Time = Distance ÷ Speed
  • Distance = Speed × Time

Section 1: Fill in the Blanks

  1. A car covers 240 km in 4 hours. Its speed is ______ km/h.
  2. A train travels at 60 km/h for 3 hours. It covers ______ km.
  3. A cyclist moves at 15 km/h. In 4 hours, he will travel ______ km.
  4. A bus takes 6 hours to cover 300 km. Its speed is ______ km/h.
  5. If a plane flies at 500 km/h, it will cover ______ km in 2.5 hours.

Section 2: Solve the Problems

  1. A truck is moving at 70 km/h. How far will it go in 5 hours?
  2. A runner completes a 24 km race in 3 hours. What is his speed?
  3. A boat moves at 25 km/h. How much time will it take to travel 100 km?
  4. A train takes 5 hours to cover 400 km. Find its speed.
  5. A person walks at 4 km/h. How much time will he take to walk 28 km?

Section 3: Word Problems

  1. Raj drives his car at 55 km/h for 4 hours. How far does he travel?
  2. A bus covers 360 km in 6 hours. What is its speed?
  3. A flight covers 1,200 km in 3 hours. Find its speed.
  4. A girl cycles at 12 km/h for 1 hour 30 minutes. How far does she go?
  5. A boy walks at 5 km/h for 3.5 hours. How far does he walk?

Bonus Challenge

  1. A car moves at 90 km/h for 2 hours and then at 60 km/h for 3 hours. Find the total distance covered and the average speed.

Answer Key

Section 1: Fill in the Blanks

  1. 60 km/h
  2. 180 km
  3. 60 km
  4. 50 km/h
  5. 1,250 km

Section 2: Solve the Problems

  1. 350 km (70 × 5)
  2. 8 km/h (24 ÷ 3)
  3. 4 hours (100 ÷ 25)
  4. 80 km/h (400 ÷ 5)
  5. 7 hours (28 ÷ 4)

Section 3: Word Problems

  1. 220 km (55 × 4)
  2. 60 km/h (360 ÷ 6)
  3. 400 km/h (1,200 ÷ 3)
  4. 18 km (12 × 1.5)
  5. 17.5 km (5 × 3.5)

Bonus Challenge Answer

  • Total Distance = 180 km + 180 km = 360 km
  • Total Time = 5 hours
  • Average Speed = 360 ÷ 5 = 72 km/h

Speed, Distance, and Time – Worksheet for Class 7

📌 Formulae to Remember:

  • Speed = Distance ÷ Time
  • Time = Distance ÷ Speed
  • Distance = Speed × Time

Section 1: Fill in the Blanks

  1. A car covers 360 km in 6 hours. Its speed is ______ km/h.
  2. A train travels at 75 km/h for 4 hours. It covers ______ km.
  3. A cyclist moves at 20 km/h. In 3.5 hours, he will travel ______ km.
  4. A bus takes 5 hours to cover 400 km. Its speed is ______ km/h.
  5. If a plane flies at 600 km/h, it will cover ______ km in 3 hours.

Section 2: Solve the Problems

  1. A truck moves at 85 km/h. How far will it travel in 8 hours?
  2. A runner completes a 32 km marathon in 4 hours. What is his speed?
  3. A boat moves at 36 km/h. How much time will it take to travel 216 km?
  4. A train takes 3.5 hours to cover 280 km. Find its speed.
  5. A person walks at 6 km/h. How much time will he take to walk 54 km?

Section 3: Word Problems

  1. Aman drives his car at 65 km/h for 6 hours. How far does he travel?
  2. A bus covers 525 km in 7 hours. What is its speed?
  3. An airplane covers 2,400 km in 4 hours. Find its speed.
  4. A cyclist rides at 14 km/h for 2.5 hours. How far does he go?
  5. A hiker walks at 4.5 km/h for 5.5 hours. How far does he travel?

Bonus Challenge

  1. A train moves at 110 km/h for 3 hours and then at 90 km/h for 4 hours. Find the total distance covered and the average speed.

Answer Key

Section 1: Fill in the Blanks

  1. 60 km/h
  2. 300 km
  3. 70 km
  4. 80 km/h
  5. 1,800 km

Section 2: Solve the Problems

  1. 680 km (85 × 8)
  2. 8 km/h (32 ÷ 4)
  3. 6 hours (216 ÷ 36)
  4. 80 km/h (280 ÷ 3.5)
  5. 9 hours (54 ÷ 6)

Section 3: Word Problems

  1. 390 km (65 × 6)
  2. 75 km/h (525 ÷ 7)
  3. 600 km/h (2,400 ÷ 4)
  4. 35 km (14 × 2.5)
  5. 24.75 km (4.5 × 5.5)

Bonus Challenge Answer

  • Total Distance = (110 × 3) + (90 × 4) = 330 + 360 = 690 km
  • Total Time = 7 hours
  • Average Speed = 690 ÷ 7 = 98.57 km/h

Speed, Distance, and Time – Worksheet for Class 8

📌 Formulae to Remember:

  • Speed = Distance ÷ Time
  • Time = Distance ÷ Speed
  • Distance = Speed × Time

Section 1: Fill in the Blanks

  1. A car covers 480 km in 8 hours. Its speed is ______ km/h.
  2. A train travels at 90 km/h for 5 hours. It covers ______ km.
  3. A cyclist moves at 25 km/h. In 4 hours, he will travel ______ km.
  4. A bus takes 4.5 hours to cover 270 km. Its speed is ______ km/h.
  5. If a plane flies at 750 km/h, it will cover ______ km in 2 hours.

Section 2: Solve the Problems

  1. A truck moves at 72 km/h. How far will it travel in 7 hours?
  2. A runner completes a 42 km marathon in 3.5 hours. What is his speed?
  3. A boat moves at 40 km/h. How much time will it take to travel 320 km?
  4. A train takes 6.5 hours to cover 520 km. Find its speed.
  5. A person walks at 5 km/h. How much time will he take to walk 60 km?

Section 3: Word Problems

  1. Rahul drives his car at 80 km/h for 7 hours. How far does he travel?
  2. A bus covers 630 km in 9 hours. What is its speed?
  3. An airplane covers 2,700 km in 3 hours. Find its speed.
  4. A cyclist rides at 18 km/h for 3.5 hours. How far does he go?
  5. A hiker walks at 5.5 km/h for 6 hours. How far does he travel?

Section 4: Higher-Level Problems

  1. A car travels 300 km at 75 km/h, then another 200 km at 50 km/h. What is the total time taken and the average speed for the whole journey?
  2. A train moves at 120 km/h for 2.5 hours and then at 100 km/h for 3 hours. Find the total distance covered and the average speed.
  3. A boat goes upstream at 12 km/h and downstream at 18 km/h. If the total time taken for the trip is 5 hours, find the total distance traveled.
  4. A bus takes 5 hours to cover a distance at 60 km/h. If the speed is increased by 20 km/h, how much time will it take?
  5. Two cyclists start from the same place. One rides at 20 km/h, and the other at 25 km/h. How far apart will they be after 4 hours?

Answer Key

Section 1: Fill in the Blanks

  1. 60 km/h
  2. 450 km
  3. 100 km
  4. 60 km/h
  5. 1,500 km

Section 2: Solve the Problems

  1. 504 km (72 × 7)
  2. 12 km/h (42 ÷ 3.5)
  3. 8 hours (320 ÷ 40)
  4. 80 km/h (520 ÷ 6.5)
  5. 12 hours (60 ÷ 5)

Section 3: Word Problems

  1. 560 km (80 × 7)
  2. 70 km/h (630 ÷ 9)
  3. 900 km/h (2,700 ÷ 3)
  4. 63 km (18 × 3.5)
  5. 33 km (5.5 × 6)

Section 4: Higher-Level Problems

  1. Total time = 4 hours + 4 hours = 8 hours
    • Average Speed = Total Distance ÷ Total Time = (300 + 200) ÷ 8 = 62.5 km/h
  2. Total Distance = (120 × 2.5) + (100 × 3) = 300 + 300 = 600 km
    • Total Time = 5.5 hours
    • Average Speed = 600 ÷ 5.5 ≈ 109.1 km/h
  3. Total Distance = Speed × Time
    • Let the upstream distance = x km, so the downstream distance = x km
    • Time taken upstream = x/12, time taken downstream = x/18
    • (x/12) + (x/18) = 5
    • Solving for x, we get x = 72 km
    • Total Distance = 72 × 2 = 144 km
  4. Initial Time = 5 hours, Speed = 60 km/h
    • New Speed = 80 km/h
    • New Time = 300 ÷ 80 = 3.75 hours (or 3 hours 45 minutes)
  5. Relative Speed = 25 – 20 = 5 km/h
    • Distance Apart After 4 Hours = 5 × 4 = 20 km

Speed, Distance, and Time – Worksheet for Class 9

📌 Key Formulae:

  1. Speed = Distance ÷ Time
  2. Time = Distance ÷ Speed
  3. Distance = Speed × Time
  4. Average Speed = Total Distance ÷ Total Time
  5. Relative Speed:
    • If two objects move in the same direction, their relative speed = (Speed₁ – Speed₂)
    • If two objects move in opposite directions, their relative speed = (Speed₁ + Speed₂)

Section 1: Fill in the Blanks

  1. A car covers 540 km in 9 hours. Its speed is ______ km/h.
  2. A train travels at 120 km/h for 3.5 hours. It covers ______ km.
  3. A bus takes 6 hours to cover 360 km. Its speed is ______ km/h.
  4. A plane flies at 850 km/h. In 2.5 hours, it will cover ______ km.
  5. If a boat moves at 25 km/h upstream and 35 km/h downstream, the average speed for a round trip is ______ km/h.

Section 2: Solve the Problems

  1. A truck moves at 90 km/h. How far will it travel in 8 hours?
  2. A runner completes a 48 km marathon in 4 hours. What is his speed?
  3. A train takes 5.5 hours to cover 660 km. Find its speed.
  4. A car travels 240 km at 80 km/h and another 180 km at 60 km/h. Find the total time taken.
  5. A person walks at 4 km/h. How much time will he take to walk 72 km?

Section 3: Word Problems

  1. A bus covers 450 km in 6 hours. What is its speed?
  2. A cyclist moves at 20 km/h for 3.5 hours. How far does he travel?
  3. A flight covers 3,000 km in 5 hours. Find its speed.
  4. A person jogs at 9 km/h for 1 hour 40 minutes. How far does he go?
  5. A boat moves upstream at 15 km/h and downstream at 25 km/h. If the total journey takes 8 hours, find the total distance.

Section 4: Higher-Level Problems

  1. A train travels 240 km at 80 km/h, then another 320 km at 64 km/h. Find the total time taken and the average speed.
  2. A plane moves at 950 km/h for 2.5 hours, then at 800 km/h for 3 hours. Find the total distance covered and the average speed.
  3. Two cars start from the same point. One moves at 72 km/h, and the other at 60 km/h in the same direction. Find the time after which the faster car will be 24 km ahead of the slower car.
  4. A cyclist covers a certain distance at 30 km/h and returns at 40 km/h. Find the average speed for the entire journey.
  5. Two trains are 250 km apart and moving towards each other. One train is moving at 100 km/h, and the other at 80 km/h. Find the time taken before they meet.

Answer Key

Section 1: Fill in the Blanks

  1. 60 km/h
  2. 420 km
  3. 60 km/h
  4. 2,125 km
  5. 28 km/h (2 × 25 × 35) ÷ (25 + 35)

Section 2: Solve the Problems

  1. 720 km (90 × 8)
  2. 12 km/h (48 ÷ 4)
  3. 120 km/h (660 ÷ 5.5)
  4. 5.5 hours (240 ÷ 80 + 180 ÷ 60)
  5. 18 hours (72 ÷ 4)

Section 3: Word Problems

  1. 75 km/h (450 ÷ 6)
  2. 70 km (20 × 3.5)
  3. 600 km/h (3,000 ÷ 5)
  4. 15 km (9 × 1.67)
  5. 160 km (Solving upstream and downstream equations)

Section 4: Higher-Level Problems

  1. Total Time = (240 ÷ 80) + (320 ÷ 64) = 3 + 5 = 8 hours
    • Average Speed = 560 ÷ 8 = 70 km/h
  2. Total Distance = (950 × 2.5) + (800 × 3) = 2,375 + 2,400 = 4,775 km
    • Total Time = 5.5 hours
    • Average Speed = 4,775 ÷ 5.5 ≈ 868.2 km/h
  3. Relative Speed = 72 – 60 = 12 km/h
    • Time = 24 ÷ 12 = 2 hours
  4. Average Speed = (2 × 30 × 40) ÷ (30 + 40) = 34.3 km/h
  5. Relative Speed = 100 + 80 = 180 km/h
    • Time = 250 ÷ 180 = 1.39 hours (1 hour 23 minutes)

Speed, Distance, and Time – Worksheet for Class 10

📌 Key Formulae:

  1. Speed = Distance ÷ Time
  2. Time = Distance ÷ Speed
  3. Distance = Speed × Time
  4. Average Speed = Total Distance ÷ Total Time
  5. Relative Speed:
    • If two objects move in the same direction, their relative speed = (Speed₁ – Speed₂)
    • If two objects move in opposite directions, their relative speed = (Speed₁ + Speed₂)
  6. Boat and Stream:
    • Speed in still water = (Upstream speed + Downstream speed) ÷ 2
    • Speed of stream = (Downstream speed – Upstream speed) ÷ 2

Section 1: Fill in the Blanks

  1. A train travels 540 km in 9 hours. Its speed is ______ km/h.
  2. A car moves at 75 km/h for 4 hours. It covers ______ km.
  3. A cyclist moves at 20 km/h. In 5.5 hours, he will travel ______ km.
  4. A boat takes 5 hours to cover 200 km. Its speed is ______ km/h.
  5. If a plane flies at 950 km/h, it will cover ______ km in 3.5 hours.

Section 2: Solve the Problems

  1. A truck moves at 80 km/h. How far will it travel in 9 hours?
  2. A runner completes a 42 km marathon in 3.5 hours. What is his speed?
  3. A train takes 4.5 hours to cover 540 km. Find its speed.
  4. A car travels 250 km at 100 km/h and another 350 km at 70 km/h. Find the total time taken.
  5. A person walks at 5 km/h. How much time will he take to walk 85 km?

Section 3: Word Problems

  1. A bus covers 720 km in 9 hours. What is its speed?
  2. A cyclist moves at 18 km/h for 3.5 hours. How far does he travel?
  3. A flight covers 3,750 km in 5 hours. Find its speed.
  4. A person jogs at 12 km/h for 1 hour 20 minutes. How far does he go?
  5. A boat moves upstream at 14 km/h and downstream at 26 km/h. If the total journey takes 7 hours, find the total distance.

Section 4: Higher-Level Problems

  1. A train travels 240 km at 80 km/h, then another 320 km at 64 km/h. Find the total time taken and the average speed.
  2. A plane moves at 900 km/h for 2.5 hours, then at 750 km/h for 3 hours. Find the total distance covered and the average speed.
  3. Two cars start from the same point. One moves at 90 km/h, and the other at 72 km/h in the same direction. Find the time after which the faster car will be 36 km ahead of the slower car.
  4. A cyclist covers a certain distance at 32 km/h and returns at 40 km/h. Find the average speed for the entire journey.
  5. Two trains are 280 km apart and moving towards each other. One train is moving at 120 km/h, and the other at 100 km/h. Find the time taken before they meet.

Answer Key

Section 1: Fill in the Blanks

  1. 60 km/h
  2. 300 km
  3. 110 km
  4. 40 km/h
  5. 3,325 km

Section 2: Solve the Problems

  1. 720 km (80 × 9)
  2. 12 km/h (42 ÷ 3.5)
  3. 120 km/h (540 ÷ 4.5)
  4. 7 hours (250 ÷ 100 + 350 ÷ 70)
  5. 17 hours (85 ÷ 5)

Section 3: Word Problems

  1. 80 km/h (720 ÷ 9)
  2. 63 km (18 × 3.5)
  3. 750 km/h (3,750 ÷ 5)
  4. 16 km (12 × 1.33)
  5. 140 km (Solving upstream and downstream equations)

Section 4: Higher-Level Problems

  1. Total Time = (240 ÷ 80) + (320 ÷ 64) = 3 + 5 = 8 hours
    • Average Speed = 560 ÷ 8 = 70 km/h
  2. Total Distance = (900 × 2.5) + (750 × 3) = 2,250 + 2,250 = 4,500 km
    • Total Time = 5.5 hours
    • Average Speed = 4,500 ÷ 5.5 ≈ 818.2 km/h
  3. Relative Speed = 90 – 72 = 18 km/h
    • Time = 36 ÷ 18 = 2 hours
  4. Average Speed = (2 × 32 × 40) ÷ (32 + 40) = 35.5 km/h
  5. Relative Speed = 120 + 100 = 220 km/h
    • Time = 280 ÷ 220 = 1.27 hours (1 hour 16 minutes)

MCQs Worksheet on Speed, Distance, and Time for SSC

📌 Key Formulae:

  1. Speed = Distance ÷ Time
  2. Time = Distance ÷ Speed
  3. Distance = Speed × Time
  4. Average Speed = Total Distance ÷ Total Time
  5. Relative Speed:
    • If two objects move in the same direction, their relative speed = (Speed₁ – Speed₂)
    • If two objects move in opposite directions, their relative speed = (Speed₁ + Speed₂)
  6. Boat and Stream:
    • Speed in still water = (Upstream speed + Downstream speed) ÷ 2
    • Speed of stream = (Downstream speed – Upstream speed) ÷ 2

MCQs on Speed, Distance, and Time

1. A car covers 180 km in 3 hours. What is its speed?

A) 30 km/h
B) 45 km/h
C) 60 km/h
D) 90 km/h

2. A train travels at 80 km/h. How much distance will it cover in 4.5 hours?

A) 320 km
B) 360 km
C) 400 km
D) 450 km

3. If a person walks at 5 km/h for 3 hours, how much distance does he cover?

A) 10 km
B) 12 km
C) 15 km
D) 20 km

4. A bus takes 5 hours to travel 300 km. What is its speed?

A) 50 km/h
B) 55 km/h
C) 60 km/h
D) 65 km/h

5. A cyclist covers 24 km in 2 hours. What is his speed?

A) 10 km/h
B) 12 km/h
C) 14 km/h
D) 16 km/h

6. A train running at 90 km/h crosses a 270 km distance in how much time?

A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours

7. If a man runs at 10 km/h, how much time will he take to cover 50 km?

A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours

8. A boat travels at 18 km/h in still water. If the speed of the stream is 4 km/h, what is the boat’s speed downstream?

A) 12 km/h
B) 14 km/h
C) 22 km/h
D) 24 km/h

9. Two trains are moving towards each other at speeds of 50 km/h and 60 km/h. Their relative speed is:

A) 10 km/h
B) 50 km/h
C) 60 km/h
D) 110 km/h

10. A plane flies 1,200 km in 2 hours. What is its speed?

A) 500 km/h
B) 600 km/h
C) 700 km/h
D) 800 km/h

11. A person walks at 4 km/h and runs at 10 km/h. If he covers a distance in 5 hours by walking and running equally, what is the total distance?

A) 25 km
B) 30 km
C) 35 km
D) 40 km

12. If a bus takes 4 hours to cover a distance at 60 km/h, what would be the time taken if the speed is increased to 80 km/h?

A) 2 hours
B) 2.5 hours
C) 3 hours
D) 3.5 hours

13. A train moving at 72 km/h crosses a 300-meter-long bridge in how many seconds?

A) 10 sec
B) 12 sec
C) 15 sec
D) 18 sec

14. A car takes 2 hours to travel a certain distance at 60 km/h. If the speed is reduced to 40 km/h, how long will it take?

A) 2 hours
B) 2.5 hours
C) 3 hours
D) 3.5 hours

15. If a cyclist covers 120 km at 30 km/h and returns at 40 km/h, what is his average speed for the entire journey?

A) 34 km/h
B) 35 km/h
C) 36 km/h
D) 37 km/h


Answer Key

  1. C) 60 km/h (180 ÷ 3)
  2. B) 360 km (80 × 4.5)
  3. C) 15 km (5 × 3)
  4. A) 50 km/h (300 ÷ 5)
  5. B) 12 km/h (24 ÷ 2)
  6. B) 3 hours (270 ÷ 90)
  7. D) 5 hours (50 ÷ 10)
  8. C) 22 km/h (18 + 4)
  9. D) 110 km/h (50 + 60)
  10. B) 600 km/h (1200 ÷ 2)
  11. B) 30 km (Walking = 2.5 × 4, Running = 2.5 × 10)
  12. C) 3 hours (240 ÷ 80)
  13. D) 18 sec (Speed in m/s = 72 × 5/18 = 20 m/s; Time = 300 ÷ 20)
  14. C) 3 hours (120 ÷ 40)
  15. A) 34 km/h (Average Speed = (2 × 30 × 40) ÷ (30 + 40) = 34.3)

Speed, Distance, and Time Worksheet for SSC GD, MTS, CGL (With Answers)

📌 Key Formulae:

  1. Speed = Distance ÷ Time
  2. Time = Distance ÷ Speed
  3. Distance = Speed × Time
  4. Average Speed = Total Distance ÷ Total Time
  5. Relative Speed:
    • If two objects move in the same direction, their relative speed = (Speed₁ – Speed₂)
    • If two objects move in opposite directions, their relative speed = (Speed₁ + Speed₂)
  6. Boat and Stream:
    • Speed in still water = (Upstream speed + Downstream speed) ÷ 2
    • Speed of stream = (Downstream speed – Upstream speed) ÷ 2

Section 1: Fill in the Blanks

  1. A car moves at 60 km/h for 5 hours. The distance covered is ______ km.
  2. A train takes 4 hours to travel 320 km. Its speed is ______ km/h.
  3. A cyclist moves at 12 km/h for 2.5 hours. The total distance traveled is ______ km.
  4. If a bus covers 225 km in 3 hours, its speed is ______ km/h.
  5. A person takes 2.5 hours to walk 10 km. His speed is ______ km/h.

Section 2: Multiple-Choice Questions (MCQs)

  1. A train covers 540 km in 6 hours. What is its speed?
    A) 60 km/h
    B) 80 km/h
    C) 90 km/h
    D) 100 km/h
  2. A car moves at 80 km/h for 3.5 hours. What distance does it cover?
    A) 240 km
    B) 260 km
    C) 280 km
    D) 300 km
  3. A cyclist travels at 18 km/h. How much time will he take to cover 108 km?
    A) 4 hours
    B) 5 hours
    C) 6 hours
    D) 7 hours
  4. A boat’s speed in still water is 16 km/h. If the speed of the stream is 4 km/h, what is the boat’s speed downstream?
    A) 10 km/h
    B) 12 km/h
    C) 18 km/h
    D) 20 km/h
  5. Two trains are moving in opposite directions at 80 km/h and 120 km/h. What is their relative speed?
    A) 40 km/h
    B) 80 km/h
    C) 160 km/h
    D) 200 km/h

Section 3: Word Problems

  1. A person walks at 5 km/h and cycles at 15 km/h. If he covers 60 km in 6 hours, how much time did he spend walking?
  2. A bus moving at 45 km/h takes 4 hours to travel a certain distance. How much time will it take if the speed increases to 60 km/h?
  3. A plane covers 1,200 km in 2.5 hours. What is its speed?
  4. A train is 150 meters long and moving at 54 km/h. How much time will it take to cross a 200-meter-long bridge?
  5. Two trains start at the same time from two stations 480 km apart, moving towards each other. One train moves at 100 km/h, and the other at 80 km/h. How much time will they take to meet?

Answer Key

Section 1: Fill in the Blanks

  1. 300 km (60 × 5)
  2. 80 km/h (320 ÷ 4)
  3. 30 km (12 × 2.5)
  4. 75 km/h (225 ÷ 3)
  5. 4 km/h (10 ÷ 2.5)

Section 2: MCQs

  1. C) 90 km/h (540 ÷ 6)
  2. C) 280 km (80 × 3.5)
  3. C) 6 hours (108 ÷ 18)
  4. C) 18 km/h (16 + 4)
  5. D) 200 km/h (80 + 120)

Section 3: Word Problems

  1. 2 hours walking, 4 hours cycling (Let time walking be x, cycling be 6-x, solve for x)
  2. 3 hours (Distance = 45 × 4 = 180 km; Time = 180 ÷ 60)
  3. 480 km/h (1200 ÷ 2.5)
  4. 20 seconds (Convert speed to m/s and use time = distance ÷ speed)
  5. 3 hours (Relative speed = 100 + 80 = 180 km/h; Time = 480 ÷ 180)

FAQs About Worksheet for speed distance time 

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