Leg It

Two sprinters are training for the 100m.

Jo can usually run 100m in 12 seconds, while his/her younger brother/sister Pat can run 100m in 15 seconds. (Make up your own, completely non-sexist, version�)

In order to make their training sessions more competitive, they want to work out how they can run �fair� races against each other, so that both might be expected to reach the line at the same time.

The Problems:

A

One way to arrange this is to have Jo running the full 100m while Pat is given a few metres start in front.

How many metres start should Pat be given?

B

The other way to make the race fair is to make Pat run the 100m, but make Jo start a few metres behind.

How many metres behind Pat should Jo start?

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Last modified: June 18, 2007