Question

Из двух городов,растаяние между которыми 168км,одновременно навстречу друг другу выехали автобус и легковой автомобиль.Скорость автомобиля на 12км/ч больше скорости автобуса.Они встретились через 1час 30 мин.Найдите скорость автобуса.

Answer 1

Х +12 - скорость автомобиля
х - скорость автобуса
1ч30мин=1,5 ч
1,5*(х+12)+1,5х=168
1,5х+18+1,5х=168
3х=168-18
3х=150
х=50 км/ч - скорость автобуса

Answer 2

Problem Analysis

We are given that the distance between two cities is 168 km. An bus and a car start simultaneously from these cities towards each other. The car's speed is 12 km/h faster than the bus's speed. They meet after 1 hour and 30 minutes. We need to find the speed of the bus.

Solution

Let's assume the speed of the bus is x km/h. Since the car's speed is 12 km/h faster, the speed of the car is (x + 12) km/h.

We can use the formula distance = speed × time to solve this problem. The total distance traveled by both the bus and the car is 168 km.

The bus travels for 1.5 hours (1 hour and 30 minutes), so the distance traveled by the bus is x × 1.5 km.

The car also travels for 1.5 hours, so the distance traveled by the car is (x + 12) × 1.5 km.

Since they meet, the sum of the distances traveled by the bus and the car should be equal to the total distance of 168 km:

x × 1.5 + (x + 12) × 1.5 = 168

Simplifying the equation:

1.5x + 1.5(x + 12) = 168

1.5x + 1.5x + 18 = 168

3x + 18 = 168

3x = 150

x = 50

Therefore, the speed of the bus is 50 km/h.

Answer

The speed of the bus is 50 km/h.