Speed Distance Time Reasoning Tricks For Class 7,8,9,10 Pdf Download

Speed Distance Time: The relationship between time, speed, and distance is a basic concept in physics and our daily life. The formula that relates these three variables is:

Distance=Speed×Time
Distance=Speed×Time

Speed, Distance, Time Calculator

What is speed distance time?

Speed ​​distance time is the formula used to explain the relation between speed, distance and time. It is:

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

Units of Speed Distance Time

• Distance: meters (m), kilometers (km), miles, etc.
• Speed: meters/second (m/s), kilometers/hour (km/h), miles/hour (mph), etc.
• Time: seconds (s), minutes (min), hours (h), etc.

Formulas of Speed Distance Time

The formulas for speed, distance, and time are derived from their relationship:

1. Distance

Distance=Speed×Time

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2. Speed

Speed=Distance/Time​

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3. Time

Time=Distance/Speed

 

Speed Distance Time Questions​

Basic questions

1. A car travels 120 km in 2 hours. What is its speed?
2. A train is moving at a speed of 80 km/h. How much distance will it cover in 5 hours?
3. A cyclist covers a distance of 45 km in 3 hours. What is the average speed of the cyclist?
4. If a person walks at a speed of 4 km/h, how long will it take to cover a distance of 12 km?

Intermediate questions

1. An airplane flies at a speed of 600 km/h. How much distance can it cover in 3.5 hours?
2. A truck is traveling at a speed of 50 km/h and has to cover a distance of 250 km. How long will the journey take?
3. A motorcycle travels 300 km in 4 hours. If it maintains the same speed, how much distance can it cover in 7 hours?
4. A person runs at a speed of 8 km/h for 2.5 hours. What distance does the person cover?

Challenging Questions

1. Two cars start from the same place. Car A runs at a speed of 60 km/h, and car B runs at a speed of 75 km/h. How far will they be from each other after 4 hours?
2. A train leaves the station at 7:00 am and travels at a speed of 90 km/h. Another train leaves the same station at 8:30 am and travels at a speed of 120 km/h. At what time will the second train catch up with the first train?
3. A boat travels 60 km downstream in 2 hours and 40 km upstream in the same time. If the current speed of the river is 5 km/h, what is the speed of the boat in still water?

Speed Distance Time formula examples

Example 1: Finding Distance

Question: A car travels at a speed of 60 km/h for 2 hours. What is the distance covered?

Solution:

Use the formula:

Distance=Speed×Time

Substitute the values:

Distance=60 km/h×2 hours=120 km

Answer: The distance covered is 120 km.

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Example 2: Finding Speed

Question: A train covers 240 km in 3 hours. What is its speed?

Solution:

Use the formula:

Speed=Distance/Time​

Substitute the values:

Speed=240 km/3 hours=80 km/h

Answer: The speed of the train is 80 km/h.

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Example 3: Finding Time

Question: A cyclist travels 90 km at a speed of 30 km/h. How much time does the journey take?

Solution:

Use the formula:

Time=Distance/Speed​

Substitute the values:

Time=90 km/30 km/h=3 hours

Answer: The journey takes 3 hours.

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Example 4: Complex Problem

Question: A plane travels 1500 km in 3 hours. Then it travels an additional 1000 km in 2 hours. What is the average speed for the entire trip?

Solution:

First, calculate the total distance:

Total Distance=1500 km+1000 km=2500 km

Next, calculate the total time:

Total Time=3 hours+2 hours=5 hours

Now, use the speed formula:

Average Speed=Total DistanceTotal Time

Average Speed=2500 km5 hours=500 km

Answer: The average speed is 500 km/h.

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Example 5: Two Moving Objects

Question: Two cars start at the same point. Car A travels at 60 km/h, and Car B travels at 80 km/h. How far apart are they after 3 hours?

Solution:

Find the distance covered by each car:

Distance of Car A=60 km/h×3 hours=180 km

Distance of Car B=80 km/h×3 hours=240 km

Find the difference in distances:

Difference=240 km−180 km=60 km

Answer: The two cars are 60 km apart after 3 hours.

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Speed Distance Time Triangle

The speed, distance, and time triangle is a visual representation of the relationship between these three variables. It’s often used in physics and mathematics to solve problems involving motion.

The triangle looks like this:

D
——-
| | S
| T |
| |
——-

• D is the distance traveled
• S is the speed (or velocity)
• T is the time taken

You can rearrange the formula depending on what you’re solving for:

1. Distance (D) = Speed (S) × Time (T)
2. Speed (S) = Distance (D) ÷ Time (T)
3. Time (T) = Distance (D) ÷ Speed (S)

So, by knowing any two of the variables, you can calculate the third!