Two motorcyclists left the two cities at the same time to meet each other. One of them moved at a speed of 70 km / h

| June 19, 2021 | education

Two motorcyclists left the two cities at the same time to meet each other. One of them moved at a speed of 70 km / h and drove 140 km to the meeting, while the other moved at a speed of 65 km / h. Find the distance between cities. Compose and solve the inverse problems of the given one.

One motorcyclist moved at a speed of 70 km / h, drove 140 km to the meeting. This means that he was on the way 140: 70 = 2 hours.

Another was moving at a speed of 65 km / h, it was also on the way for 2 hours. This means that he covered a distance equal to 65 * 2 = 130 km.

The distance between cities is equal to the sum of the lengths of the path that the motorcyclists have traveled: 140 + 130 = 270 (km).

Answer: the distance between cities is 270 km.

Inverse problem: The distance between cities is 270 km. Two motorcyclists left at the same time. The speed of the first is 65 km / h. Find the speed of the second rider if they meet 2 hours after departure.

1) 65 * 2 = 130 (km) – the path of the first motorcyclist.

2) 270 – 130 = 140 (km) – the path of the second motorcyclist.

3) 140: 2 = 70 (km / h) – speed of the second rider.



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