Two motorcyclists drove out of the two cities at the same time towards each other.

Two motorcyclists drove out of the two cities at the same time towards each other. One of them was moving at a speed of 70 km / h and drove 140 km to the meeting, while the other was moving at a speed of 65 km / h. Find the distance between cities.

The first motorcyclist spent 140: 70 = 2 (hours) on the path.

During this time, the second motorcyclist drove 65 * 2 = 130 (km).

To find out the distance between cities, add up the distances traveled by motorcyclists: 130 + 140 = 270 (km).

Answer: the distance between cities is 270 km.

Inverse problem:

The distance between cities A and B is 270 km. From them two motorcyclists moved towards each other at the same time. One of them was moving at a speed of 70 km / h, the second – at a speed of 65 km / h. How long did it take for them to meet?

1) 70 + 65 = 135 (km / h) – the time of the convergence of motorcyclists.

2) 270: 135 = 2 (hours) – motorcyclists will pass before the meeting.

Answer: motorcyclists will meet in 2 hours.