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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?

Motion Sensor

Stage: 4 Challenge Level: Challenge Level:1
Moving between representations is a key area of capability in mathematics.

This problem rests on the student visualising the motion from a graphical expression of the distance-time data.

Asking for a result in units other than those given on a graph scale involves a little problem solving but mostly relies on an ability to see the same quality (speed) expressed in more than one way (m/s or mph)