A and B run at speeds in the ratio 3 : 2. How much of a start should A give B in a 600 m race for a dead heat?

Explanation

1. 01

   When A runs 600 m, B runs $600 \times \frac{2}{3} = 400$ m.

2. 02

   B must start $600 - 400 = 200$ m ahead.