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On the Road

Four vehicles travelled on a road. What can you deduce from the times that they met?

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?


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?

An Average Average Speed

Age 14 to 16
Challenge Level


I drove from Cambridge to Cardiff at an average speed of 50 mph, it was heavy traffic, but I managed to drive back at an average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?

What average speed for the return journey would make the round trip average 60 mph ?