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The relationship between speed, time, and distance. Distance is equal to speed multiplied by time. Speed is equal to distance divided by time.
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Find distance by multiplying speed by time. A speed in km/h gives kilometres per hour, so multiply by the number of hours.
For example, 60 km/h for 3 h gives 60 × 3 = 180 km.
Distance = speed × time. A speed in m/s gives metres per second, so multiply it by the number of seconds.
For example, 4 m/s for 5 s gives 4 × 5 = 20 m.
Speed tells you how many kilometres are travelled in one hour. Divide the distance in kilometres by the time in hours.
For example, 24 km in 3 h gives 24 ÷ 3 = 8 km/h. Check by multiplying speed by time.
30 minutes is half an hour. To find the speed in kilometres per hour, work out how far the train would travel in a full hour at the same speed.
Multiply the distance travelled in 30 minutes by 2. For example, 25 km in half an hour means 50 km/h.
Find time by dividing distance by speed: time = distance ÷ speed.
With distance in kilometres and speed in kilometres per hour, the time is in hours. For example, 180 km ÷ 60 km/h = 3 h.
First find the distance already travelled by multiplying speed by time.
Then subtract it from the whole journey length. For example, for a 250 km journey after 2 h at 80 km/h, 250 − 2 × 80 = 90 km remains.
Find time by dividing distance by speed: time = distance ÷ speed.
With distance in kilometres and speed in kilometres per hour, the time is in hours. For example, 180 km ÷ 60 km/h = 3 h.
15 minutes is one quarter of an hour. An hour contains four periods of 15 minutes.
Multiply the distance travelled in 15 minutes by 4. For example, 20 km in 15 min means 20 × 4 = 80 km/h.
A speed in m/s tells you the metres travelled in one second. One minute has 60 seconds.
Multiply the speed by 60 to find the distance. For example, at 3 m/s, the distance in one minute is 3 × 60 = 180 m.
Find distance by multiplying speed by travelling time. Calculate the distance covered in the first hour and the distance covered in the second hour separately, then add them. Each stage lasts one hour. Give the total distance in kilometres.
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Speed describes the distance travelled during one unit of time. The three quantities are connected by the formulas distance s = v × t, speed v = s ÷ t and time t = s ÷ v.
Read the question and identify the unknown quantity. If the question asks for distance, multiply speed by time. If it asks how long a journey takes or how fast an object moves, use division.
Units must be compatible before calculating. Half an hour is 0.5 h or 30 minutes, and one minute is 60 seconds. With km/h, time must be expressed in hours; with m/s, it must be expressed in seconds. Check the result logically: a greater speed over the same time must produce a greater distance.
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