Question

Расстояние между поселками 48 км.Из них выехали одновременно в одном направлении два мотоциклиста.Скорость одного 74 км/час,а другого,едущего вслед за первым 82 км/час.Через какое время после начала движения второй мотоциклист догонит первого?

Answer 1

За час мотоциклисты сближаются на 78-65=13 км
Второй мотоциклист догонит первого через 52:13=4 часа

Answer 2

Problem Analysis

We are given that two motorcyclists start simultaneously from a village and travel in the same direction. The first motorcyclist has a speed of 74 km/h, while the second motorcyclist, who is following the first, has a speed of 82 km/h. We need to determine how long it will take for the second motorcyclist to catch up to the first.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed between the two motorcyclists is the difference in their speeds. In this case, the relative speed is 82 km/h - 74 km/h = 8 km/h.

Since the two motorcyclists are traveling in the same direction, the second motorcyclist needs to cover the initial distance between them, which is 48 km, while closing the gap at a relative speed of 8 km/h.

To find the time it takes for the second motorcyclist to catch up to the first, we can use the formula:

Time = Distance / Speed

Substituting the values, we have:

Time = 48 km / 8 km/h = 6 hours

Therefore, it will take the second motorcyclist 6 hours to catch up to the first motorcyclist.

Answer

The second motorcyclist will catch up to the first motorcyclist after 6 hours.