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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?

Motion Sensor

Age 14 to 16
Challenge Level

A motion sensor collects data. At regular intervals it records the distance between itself and an object. If that object is moving towards, or away from, the sensor the distance data will change. 

For 20 seconds a motion sensor is collecting data as a person moves backwards and forwards in front of it.

Here's the distance-time graph for that movement. Can you describe the person's motion? (the units are metres and seconds)

Distance Time Graph for the Motion Sensor

When was the person moving quickest? Calculate an estimate for this speed.

What was their lowest speed and when was this?