Speed, Time and Distance Questions

Speed, time and distance with worked examples: time from distance and speed, and average speed over equal distances, plus free practice questions.

Practise speed, time and distance

How to solve speed, time and distance questions

Time from distance and speed

Time = distance ÷ speed. Keep the units matching: km and km/h give hours.

Average speed over equal distances

For two equal distances at speeds a and b, average speed = 2ab ÷ (a + b). It is less than the simple mean of the two speeds.

Worked examples

Example 1

A car travels 120 km at 40 km/h. How many hours does the trip take?

  1. Time = distance ÷ speed
  2. = 120 ÷ 40
  3. = 3 hours

Answer: 3 hours

Example 2

A car drives to a town at 30 km/h and returns along the same road at 60 km/h. What is its average speed for the whole trip in km/h?

  1. For equal distances, average speed = 2ab ÷ (a + b)
  2. = 2 × 30 × 60 ÷ (30 + 60) = 3600 ÷ 90
  3. = 40 km/h

Answer: 40 km/h

Example 3

A bus covers 150 km at a steady 50 km/h. How long, in hours, does it take?

  1. Time = distance ÷ speed
  2. = 150 ÷ 50
  3. = 3 hours

Answer: 3 hours

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