Henry Ernest Dudeney/Puzzles and Curious Problems/72 - The Fly and the Motor-Cars

by : $72$

 * The Fly and the Motor-Cars
 * A road is $300$ miles long.
 * A motor-car, $A$, starts at noon from one end and goes throughout at $50$ miles an hour,
 * and at the same time another car, $B$, going uniformly at $100$ miles an hour, starts from the other end,
 * together with a fly travelling $150$ miles an hour.
 * When the fly meets the car $A$, it immediately turns and flies towards $B$.
 * $(1)$ When does the fly meet $B$?
 * The fly then turns towards $A$ and continues flying backwards and forwards between $A$ and $B$.
 * $(2)$ When will the fly be crushed between the two cars if they collide and it does not get out of the way?