A car drove out of city A, the speed of which is 84 km / h. 4 hours before the car, a cyclist left in the same direction

A car drove out of city A, the speed of which is 84 km / h. 4 hours before the car, a cyclist left in the same direction, the speed of which was 14 km / h. How long does it take for a car to catch up with a cyclist.

Let’s find the distance that the cyclist managed to travel before the car exits:

14 * 4 = 56 km.

Since the car and the cyclist were moving in the same direction, then his car relative to the cyclist is equal to the difference in their speeds:

84 – 14 = 70 km / h.

Then the time before the meeting will be equal to:

56: 70 = 56/70 = 4/5 hours.

Answer: the car will catch up with the cyclist in 4/5 hours.