Question

Два велосипедиста одновременно выехали из пунктов А и В в одном направлении.Через сколько часов один велосипедист догонит другого,если скорости велосипедистов 18 км/ч и 12 км/ч,а расстояние между пунктами А и В 24 км?30 баллов

Answer 1

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Answer 2

Problem Analysis

We have two cyclists starting simultaneously from points A and B, both traveling in the same direction. We need to determine how long it will take for one cyclist to catch up to the other. The speeds of the cyclists are given as 18 km/h and 12 km/h, and the distance between points A and B is 24 km.

Solution

To solve this problem, we can use the formula: time = distance / speed. We need to find the time it takes for one cyclist to catch up to the other, so we'll calculate the time it takes for each cyclist to cover the distance between A and B.

Let's calculate the time it takes for the first cyclist (with a speed of 18 km/h) to cover the distance between A and B: time1 = distance / speed1 = 24 km / 18 km/h.

Now, let's calculate the time it takes for the second cyclist (with a speed of 12 km/h) to cover the same distance: time2 = distance / speed2 = 24 km / 12 km/h.

Since both cyclists are traveling in the same direction, the second cyclist will take longer to cover the distance. Therefore, the first cyclist will catch up to the second cyclist when their times are equal.

Let's calculate the times for each cyclist:

- For the first cyclist: time1 = 24 km / 18 km/h = 4/3 hours. - For the second cyclist: time2 = 24 km / 12 km/h = 2 hours.

Since the first cyclist will catch up to the second cyclist when their times are equal, it will take 2 hours for one cyclist to catch up to the other.

Answer

One cyclist will catch up to the other in 2 hours.