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On the Road

Four vehicles travelled on a road with constant velocities. The car overtook the scooter at 12 o'clock, then met the bike at 14.00 and the motorcycle at 16.00. The motorcycle met the scooter at 17.00 then it overtook the bike at 18.00. At what time did the bike and the scooter meet?

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There and Back

Brian swims at twice the speed that a river is flowing, downstream from one moored boat to another and back again, taking 12 minutes altogether. How long would it have taken him in still water?

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Escalator

At Holborn underground station there is a very long escalator. Two people are in a hurry and so climb the escalator as it is moving upwards, thus adding their speed to that of the moving steps. ... How many steps are there on the escalator?

Four on the Road

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Well done to Thomas from Woodland Middle School, and Rayan from St James School, who each sent us graphs which show all the pieces of information.

Thomas's GraphRayan's Graph

These aren't the only graphs which solve the problem, so why not try drawing some more and looking at the similarities and differences between them?