Little Suzy has a tricycle (you know, with three wheels). She wants to travel 1 mile with the tricycle, but she wants to spare her tyres (you know the price on tricycle tyres just keep going up). She is taking 2 spare tyres.

Assume she knows when to exchange wheels so that each of them travels an equal distance. How far does each wheel travel at the end of one mile? How did she exchange the wheels?

lets call them tires 1, 2, 3, 4, 5

5 choose 3 = 10

combinations:

123, 124, 125, 134 ,135, 145, 234, 235, 245, 345

starting with 123, change the tires according to the sequence as above for every 0.1 mile.

a less hassle combination would be:

123, 234, 345, 451, 512 where she changes the tires every 0.2 mile.

Posted by tan on 2004-02-24 22:12:42