Henry Ernest Dudeney/Modern Puzzles/84 - The Three Brothers

by : $84$

 * The Three Brothers
 * The discussion arose before one of the tribunals as to which of a tradesman's three sons could best be spared for service in the Army.
 * "All I know as to their capabilities," said the father, "is this:
 * Arthur and Benjamin can do a certain quantity of work in eight days,
 * which Arthur and Charles will do in nine days,
 * and which Benjamin and Charles will take ten days over."


 * Of course, it was at once seen that as longer time was taken over the job whenever Charles was one of the pair,
 * he must be the slowest worker.
 * This was all they wanted to know, but it is an interesting puzzle to ascertain just how long each son would be required to do that job alone.


 * Can you discover?