Henry Ernest Dudeney/Modern Puzzles/37 - A Side-car Problem

by : $37$

 * A Side-car Problem
 * Atkins, Baldwin and Clarke had to go a journey of $52$ miles across country.
 * Atkins had a motor-bicycle with sidecar for one passenger.


 * How was he to take one of his companions a certain distance,
 * drop him on the road to walk the remainder of the way,
 * and return to pick up the second friend,
 * so that they should all arrive at their destination at exactly the same time?


 * The motor-bicycle could do $20$ miles per hour,
 * Baldwin could walk $5$ miles per hour,
 * and Clarke could walk $4$ miles per hour.


 * Of course, each went at his proper speed throughout and there was no waiting.


 * I might have complicated the problem by giving more passengers,
 * but I have purposely made it easy,
 * and all the distances are an exact number of miles -- without fractions.