Question

Из двух городов, расстояние между которыми 320 км , одновременно навстречу друг другу выехали автобус и легковой автомобиль. Автомобиль ехал со скоростью, на 20 км ч большей, чем автобус , и повстречался с автобусом через 2 часа. Найди скорости автобуса и автомобиля.

Answer 1

320:2=160
х+(х+20)=160
2х=180
Х=90км/ч-скорость автобуса
90+20=110км/ч-скорость автомобиля

Answer 2

Problem Analysis

We are given that a bus and a car start simultaneously from two cities that are 320 km apart. The car is traveling 20 km/h faster than the bus. After 2 hours, the car and the bus meet each other. We need to find the speeds of the bus and the car.

Solution

Let's assume the speed of the bus is x km/h. Since the car is traveling 20 km/h faster than the bus, the speed of the car is x + 20 km/h.

To find the speeds of the bus and the car, we can use the formula:

Distance = Speed × Time

The distance traveled by the bus in 2 hours is 2x km, and the distance traveled by the car in 2 hours is 2(x + 20) km.

Since the total distance between the two cities is 320 km, we can set up the equation:

2x + 2(x + 20) = 320

Simplifying the equation:

2x + 2x + 40 = 320

4x + 40 = 320

4x = 280

x = 70

Therefore, the speed of the bus is 70 km/h and the speed of the car is 90 km/h.

Answer

The speed of the bus is 70 km/h and the speed of the car is 90 km/h.