Question

Из двух городов одновременно навстречу друг другу выехали велосепидист и мотоциклист . Скорость мотоциклиста 40 км/ч. Он едет в два раза быстрее велосипедиста . Через час велосепидист и мотоциклист встретились. Каково расстояние между городами?

Answer 1

40×2 = 80 ( км/год)-скорость велосипедиста. 80+40 = 120 (км) - расстояние между городами.

Answer 2

Problem Analysis

We are given that a cyclist and a motorcyclist start simultaneously from two different cities and travel towards each other. The motorcyclist's speed is 40 km/h, which is twice the speed of the cyclist. After one hour, they meet each other. We need to find the distance between the two cities.

Solution

Let's assume the speed of the cyclist is x km/h. According to the given information, the speed of the motorcyclist is twice that of the cyclist, so the speed of the motorcyclist is 2x km/h.

We know that distance = speed × time. After one hour, the cyclist and the motorcyclist meet each other. Therefore, the distance traveled by the cyclist in one hour is x km, and the distance traveled by the motorcyclist in one hour is 2x km.

Since they are traveling towards each other, the sum of their distances should be equal to the distance between the two cities. Let's denote the distance between the two cities as d km.

According to the problem, the distance traveled by the cyclist in one hour is x km, and the distance traveled by the motorcyclist in one hour is 2x km. So, we can write the equation:

x + 2x = d

Simplifying the equation, we get:

3x = d

Now, we need to find the value of d.

To find the value of d, we need to know the value of x. We are given that the speed of the motorcyclist is 40 km/h, which is twice the speed of the cyclist. So, we can write the equation:

2x = 40

Simplifying the equation, we get:

x = 20

Now, we can substitute the value of x in the equation 3x = d to find the value of d:

3(20) = d

Simplifying the equation, we get:

60 = d

Therefore, the distance between the two cities is 60 km.

Answer

The distance between the two cities is 60 km.