Question

Два велосипедиста одновременно выехали навстречу друг другу из двух посёлков,расстояние между которыми 76 км.Через 2 ч они встретились.Какова скорость каждого велосипедиста,если известно ,что скорость одного из них в 1,5 раза больше другого?

Answer 1

Уравнение: скорость первого x а второго 1.5x.

Answer 2

Problem Analysis

We have two cyclists who start simultaneously from two different villages and meet after 2 hours. The distance between the villages is 76 km. We are given that the speed of one cyclist is 1.5 times greater than the speed of the other cyclist. We need to find the speed of each cyclist.

Solution

Let's assume the speed of the slower cyclist is x km/h. Therefore, the speed of the faster cyclist would be 1.5x km/h.

We can use the formula speed = distance / time to find the speeds of the cyclists.

The slower cyclist travels for 2 hours at a speed of x km/h, so the distance covered by the slower cyclist is 2x km.

The faster cyclist also travels for 2 hours at a speed of 1.5x km/h, so the distance covered by the faster cyclist is 2 * 1.5x = 3x km.

Since the total distance between the villages is 76 km, we can set up the equation 2x + 3x = 76 and solve for x.

Calculation

Let's solve the equation 2x + 3x = 76 to find the value of x.

2x + 3x = 76 5x = 76 x = 76 / 5 x = 15.2

Therefore, the speed of the slower cyclist is 15.2 km/h and the speed of the faster cyclist is 1.5 * 15.2 = 22.8 km/h.

Answer

The speed of the slower cyclist is 15.2 km/h and the speed of the faster cyclist is 22.8 km/h.

Explanation

The slower cyclist travels at a speed of 15.2 km/h for 2 hours, covering a distance of 2 * 15.2 = 30.4 km. The faster cyclist travels at a speed of 22.8 km/h for 2 hours, covering a distance of 2 * 22.8 = 45.6 km. The sum of these distances is 30.4 + 45.6 = 76 km, which is the total distance between the villages. Therefore, the speeds of the cyclists are correct.