Henry Ernest Dudeney/Modern Puzzles/32 - Riding in the Wind/Solution

by : $32$

 * Riding in the Wind

Solution

 * $3 \tfrac 3 7$ minutes.

Proof
Let $v_w$ miles per minute be the speed of the wind.

Let $v_m$ miles per minute be the speed of the man without the wind.

Let $t$ minutes be the time taken to ride $1$ mile with no wind.

We have: