Henry Ernest Dudeney/Puzzles and Curious Problems/78 - The Meeting Cars/Solution

by : $78$

 * The Meeting Cars

Solution

 * $72$ miles.

Proof
let $D$ be the distance from Bugleminster to London.

Let $v_1$ and $v_2$ miles per hour be the speed of Crackham and his friend respectively.

Let $t_1$ hours be the time after setting out that they met.

Let $t_2$ hours be the time after originally setting out that they would have met for the second time.

We have: