✏️ Practice Exercises

Speed & Distance

5 problems · Easy to Hard · Type your working · AI checks your steps

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How to use these exercises

Read the question → work it out step-by-step in the box → click Check My Working to get AI feedback. Use hints if stuck. Reveal the full solution only after you have tried.

01

easy

A car travels 240 km in 4 hours. What is its average speed?

💡 Show hint

Speed = Distance ÷ Time.

Your Working

02

easy

A train running at 72 km/h crosses a 200 m long platform in 15 seconds. What is the length of the train?

💡 Show hint

Convert km/h to m/s (× 5/18). Train + platform = total distance.

Your Working

03

medium

A man covers a distance of 60 km at 30 km/h and returns at 60 km/h. Find his average speed for the whole journey.

💡 Show hint

For equal distances, average speed = 2uv/(u+v) — harmonic mean, not arithmetic.

Your Working

04

medium

Two trains are running at 54 km/h and 36 km/h on parallel tracks in the same direction. The faster train passes the slower one in 30 seconds. If both trains are equal in length, find the length of each train.

💡 Show hint

Same direction → relative speed = difference. Time = combined length / relative speed.

Your Working

05

hard

A boat covers 24 km downstream in 2 hours and the same distance upstream in 3 hours. Find the speed of the boat in still water and the speed of the stream.

💡 Show hint

Downstream = boat + stream; upstream = boat − stream. Solve as a 2-equation system.

Your Working

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