Henry Ernest Dudeney/Puzzles and Curious Problems/71 - The Three Motor-Cars

by : $71$

 * The Three Motor-Cars
 * Three motor-cars travelling along a road in the same direction are, at a certain moment, in the following positions in relation to one another.
 * Andrews is a certain distance behind Brooks,
 * and Carter is twice that distance in front of Brooks.
 * Each car travels at its own uniform rate of speed,
 * with the result that Andrews passes Brooks in seven minutes,
 * and passes Carter five minutes later.


 * Now, in how many minutes after Andrews would Brooks pass Carter?