Question

Из одного города одновременно в противоположных направлениях выехали два велосипедиста.Их скорость15км.ч и 17 км.ч.Какой путь проехал каждый велосипедист когда расстояние между ними стало128 км

Answer 1

15+17=32(км/ч) скорость удаления
128:32=4(ч) доехали
15*4=60км) проехал первый
17*4=68 (км) проехал второй

Answer 2

Problem Analysis

We have two cyclists who start simultaneously from the same city in opposite directions. The speeds of the cyclists are given as 15 km/h and 17 km/h. We need to find the distance traveled by each cyclist when the distance between them becomes 128 km.

Solution

Let's assume that the first cyclist traveled a distance of x km. Since the second cyclist is traveling in the opposite direction, they would have traveled a distance of (128 - x) km.

We can use the formula: distance = speed × time to find the time taken by each cyclist.

For the first cyclist: - Distance = x km - Speed = 15 km/h - Time = x / 15 hours

For the second cyclist: - Distance = (128 - x) km - Speed = 17 km/h - Time = (128 - x) / 17 hours

Since both cyclists started at the same time, their travel times should be equal. Therefore, we can set up the following equation:

x / 15 = (128 - x) / 17

We can solve this equation to find the value of x, which represents the distance traveled by the first cyclist.

Calculation

Let's solve the equation:

x / 15 = (128 - x) / 17

Cross-multiplying:

17x = 15(128 - x)

17x = 1920 - 15x

32x = 1920

x = 60

Answer

The first cyclist traveled a distance of 60 km, while the second cyclist traveled a distance of (128 - 60) = 68 km.

Therefore, the first cyclist traveled 60 km, and the second cyclist traveled 68 km when the distance between them became 128 km.