The motorcyclist left A to B. If he drives at 50 km / h, he will be 1 hour late, but if he drives at 65 km / h

The motorcyclist left A to B. If he drives at 50 km / h, he will be 1 hour late, but if he drives at 65 km / h, he will arrive 30 minutes ahead of schedule. What is the distance between A and B?

Let’s say the distance between A and B is x km.

If a motorcyclist drives at a speed of 50 km / h, he will travel this path in: x / 50 h.

If at a speed of 65 km / h, then in: x / 65 hours.

30 minutes =, 5 hours

We compose equality:

x / 50 – 1 = x / 65 + 0.5.

65 * x – 3250 = 50 * x + 1625.

We transfer equal parts to one side, changing the signs to opposite ones.

65 * x – 50 * x = 1625 + 3250.

15 * x = 4875.

x = 4875/15 = 325 km.

Answer: The distance between points A and B is 325 kilometers.