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