You may also like

problem icon

Speedy Sidney

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?

problem icon

Illusion

A security camera, taking pictures each half a second, films a cyclist going by. In the film, the cyclist appears to go forward while the wheels appear to go backwards. Why?

problem icon

Walk and Ride

How far have these students walked by the time the teacher's car reaches them after their bus broke down?

Weekly Problem 8 - 2013

Stage: 3 Challenge Level: Challenge Level:1

I walk to the bike shop at 3 miles per hour and cycle back along the same route at 12 miles per hour. What is my average speed in miles per hour, for the time I am actually travelling on the route?

This problem is taken from the UKMT Mathematical Challenges.

View the previous week's solution
View the current weekly problem