GCSE Maths, Unit 18, Lesson 1 of 5

Speed, distance and time

About 2 min to read, then 7 practice questions

One formula, three ways round

speed = distance ÷ time
distance = speed × time
time = distance ÷ speed

Keep the units matched: km and hours give km/h. 40 minutes is 40/60 = 2/3 of an hour, not 0.4 hours.

Changing units, and average speed

km/h to m/s: × 1000 (metres) then ÷ 3600 (seconds).

72 km/h = 72,000 m in 3600 s = 20 m/s.

Average speed for a whole journey is total distance ÷ total time, never the mean of the speeds. 60 km at 30 km/h then 60 km at 60 km/h: 120 km in 3 hours, so 40 km/h, not 45.

Check a conversion

Use the unit converter to change 72 km/h into m/s, then 15 m/s into km/h. Check each against × 1000 ÷ 3600.

Practise this: 7 questions, about 10 min

Answering from memory soon after reading is what makes it stick, so now is a good time.

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