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Distance, Speed and Travel Word Problems

Real-life questions about journeys: distances on maps and charts, speed, journey times, fuel and fares. Read the story, work it out and type the answer.

Sam cycles 8 km in the morning and 5 km in the afternoon. How far does Sam cycle altogether?

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km

Travel facts

On a map, add the lengths of the roads you go along.

1000 m = 1 km

Distance = speed × time

Speed = distance ÷ time

Time = distance ÷ speed

Average speed = all the distance ÷ all the time

Costs: find the cost of one (one litre, one kilometre), then multiply.

Questions and answers

How do you work out speed, distance and time?

Speed = distance ÷ time, distance = speed × time and time = distance ÷ speed. A car that goes 150 km in 3 hours travels at 150 ÷ 3 = 50 km/h. At 50 km/h for 2 hours it goes 2 × 50 = 100 km.

How do you read a distance chart?

Find one town along the top and the other down the side. The number where the column and the row meet is the distance between them. For a journey with a stop, look up each part and add them.

How do you find the average speed of a journey?

Add up all the distance and all the time, then divide. 60 km in 1 hour and then 30 km in 30 minutes is 90 km in 1.5 hours, so the average speed is 90 ÷ 1.5 = 60 km/h.

Which travel word problems suit each age?

Ages 5 to 7 add distances on a map and there and back. Ages 7 to 9 compare two routes, count laps and go a distance every hour. Ages 9 to 11 work out speed and journey times and read distance charts. Ages 11 to 14 work out fuel costs, fares and average speed.