Question

Расстояние между двумя сёлами равно 28 км. Из этих сёл одновременно в одном направлении выехали мотоциклист и автобус. Автобус ехал впереди со скоростью 42 км/ч, а мотоциклист ехал со скоростью 56 км/ч. Через сколько часов после начала движения мотоциклист догонит автобус?

Answer 1

56-42=14 (км/ч) скорость, с какой мотоциклист догоняет автобус
28:14=2 (ч)
Ответ: через 2 часа

Answer 2

Problem Analysis

We are given that the distance between two villages is 28 km. A motorcycle and a bus start simultaneously from these villages in the same direction. The bus travels at a speed of 42 km/h, while the motorcycle travels at a speed of 56 km/h. We need to determine how many hours it will take for the motorcycle to catch up to the bus.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed is the difference between the speeds of the two objects. In this case, the relative speed of the motorcycle with respect to the bus is 56 km/h - 42 km/h = 14 km/h.

We know that the distance between the two villages is 28 km. To find the time it takes for the motorcycle to catch up to the bus, we can divide the distance by the relative speed:

Time = Distance / Relative Speed

Substituting the given values:

Time = 28 km / 14 km/h = 2 hours

Therefore, the motorcycle will catch up to the bus after 2 hours.

Answer

The motorcycle will catch up to the bus after 2 hours.