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Question P6 Same time, same distance

Today’s problem — free all day, every step. Every day has one.

Aladdin and Jasmine — the magic carpet race

Aladdin and Jasmine were having a race on their magic flying carpets. They left the same starting point for the market at 13 00. Both of them did not change their speed throughout the journey. Aladdin travelled at a constant speed of 60 km/h. When he reached the market at 13 30, Jasmine was 3 km from the market. What is Jasmine's speed?

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Answer

54 km/h.

✎  3 practice questions
About this method

Same time, same distance

Two travellers spend the same time, or cover the same distance.

In this one. Both carpets were in the air for the same half hour, so once that half hour gives Aladdin's distance, Jasmine's is just his distance less the gap she had left to fly.

the same time for bothfasterslowerthe gap grows by 2 shares per hour

How to spot it

Two travellers set off together or one chases another, with constant speeds and a question about who is ahead, when they meet, or how far apart they are.

Common mistake

Children divide the whole distance by the difference in speed instead of dividing the gap between the travellers, or compare distances covered over different lengths of time.

Practise a similar question

Standard A bus left Town X at 8:00 am travelling at 60 km/h. A car left the same town at 9:00 am travelling in the same direction at 90 km/h. At what time will the car catch up with the bus?
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