Question

Скорость мотоциклиста на 20 км\ч меньше чем автомобилиста. Расстояние от города до посёлка мотоциклист проезжает за 7 часов, а автомобилист за 5 часов. Найдите скорость мотоциклиста.

Answer 1

Пусть скорость мотоциклиста х км\час. тогда скорость автомобилиста х+20 км\час. Составим уравнение: 
7х=5(х+20)
7х=5х+100
2х=100
х=50
Ответ: 50 км\час.

Answer 2

Problem Analysis

We are given that the speed of a motorcyclist is 20 km/h less than that of a car driver. The motorcyclist takes 7 hours to travel from the city to the village, while the car driver takes 5 hours. We need to find the speed of the motorcyclist.

Solution

Let's assume the speed of the car driver is x km/h. Then the speed of the motorcyclist would be x - 20 km/h.

We can use the formula speed = distance / time to find the distance traveled by both the motorcyclist and the car driver.

For the motorcyclist: - Speed = x - 20 km/h - Time = 7 hours - Distance = Speed * Time = (x - 20) * 7 km

For the car driver: - Speed = x km/h - Time = 5 hours - Distance = Speed * Time = (x) * 5 km

Since the distance traveled by both the motorcyclist and the car driver is the same (from the city to the village), we can equate the two distances and solve for x.

Let's set up the equation:

(x - 20) * 7 = (x) * 5

Now, let's solve for x:

7x - 140 = 5x

2x = 140

x = 70

Therefore, the speed of the motorcyclist is 70 - 20 = 50 km/h.

Answer

The speed of the motorcyclist is 50 km/h.