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

by : $78$

 * The Meeting Cars
 * The Crackhams made their first stop at Bugleminster, where they were to spend the night at a friend's house.
 * This friend was to leave home at the same time and ride to London to put up at the Crackhams' house.
 * They took the same route, and each car went at its own uniform speed.
 * They kept a look-out for one another, and met forty miles from Bugleminster.
 * George that evening worked out the following little puzzle:


 * "I find that if, on our respective arrivals, we had each at once proceeded on the return journey at the same speeds
 * we should meet $48$ miles from London."


 * If this were so, what is the distance from London to Bugleminster?''