Question

Из городов а и в расстояние между которыми равно 550 км,одновременно навстречу друг другу выехали два автомобиля.Через 4 часа после начала движения расстояние между ними было 50 км.Найдите скорости автомобилей,если скорость одного на 5 км в час больше,чем у другого

Answer 1

1)550-(50+5•4)=480(км/ч)-скорость первой машины
2)480+5=485(км/ч)скорость 2 машины

Answer 2

550-50=500 (км)- за 4 часа
500:4=125-5 125+5 = 120(км/ч) скорость одного авто 130(км/ч) другого

Answer 3

Problem Analysis

We are given that two cars start driving towards each other from two cities that are 550 km apart. After 4 hours of driving, the distance between them is 50 km. We need to find the speeds of the cars, given that one car is traveling 5 km/h faster than the other.

Solution

Let's assume the speed of the slower car is x km/h. Then the speed of the faster car would be x + 5 km/h.

We can use the formula distance = speed × time to find the distances traveled by each car after 4 hours.

The distance traveled by the slower car is x km/h × 4 hours = 4x km.

The distance traveled by the faster car is (x + 5) km/h × 4 hours = 4(x + 5) km.

According to the problem, the total distance between the two cars after 4 hours is 50 km. So we can write the equation:

4x + 4(x + 5) = 50

Simplifying the equation:

4x + 4x + 20 = 50

8x + 20 = 50

8x = 30

x = 30/8

x = 3.75

Therefore, the speed of the slower car is 3.75 km/h and the speed of the faster car is 3.75 + 5 = 8.75 km/h.

Answer

The speed of the slower car is 3.75 km/h and the speed of the faster car is 8.75 km/h.