Question

Автобус и грузовая машина скорость которой на 15 км больше скорости автобуса. Выехали одновременно на встречу друг другу из двух городов, расстояние между которыми 455 км. Найдите скорость автобуса и грузовика если известно, что они встретились через 2,6 часа после выезда

Answer 1

455:2,6=175 (км/ч) - скорость сближения

х - скорость автобуса

х+15 - скорость грузовика

х+х+15=175

2х=160

х=80 (км/ч) - скорость автобуса

80+15=95 (км/ч) - скорость грузовика

Answer 2

80км/час и 95км/час

 

 1) 2,6*60=156

 2)455/156=2,91666666

 3)2,9166666*60=175

 4)175-15=160

 5)160/2=80

 6)80+15=95

Answer 3

Problem Analysis

We are given that a bus and a truck are traveling towards each other from two different cities. The distance between the cities is 455 km. The truck's speed is 15 km/h faster than the speed of the bus. They meet each other after 2.6 hours. We need to find the speeds of the bus and the truck.

Solution

Let's assume the speed of the bus is x km/h. Since the speed of the truck is 15 km/h faster, the speed of the truck is (x + 15) km/h.

We can use the formula distance = speed × time to solve this problem.

The distance traveled by the bus in 2.6 hours is 2.6x km.

The distance traveled by the truck in 2.6 hours is 2.6(x + 15) km.

Since they are traveling towards each other, the sum of their distances should be equal to the total distance between the cities, which is 455 km.

Therefore, we can write the equation:

2.6x + 2.6(x + 15) = 455

Simplifying the equation:

2.6x + 2.6x + 39 = 455

5.2x + 39 = 455

5.2x = 416

x = 80

The speed of the bus is 80 km/h.

The speed of the truck is 80 + 15 = 95 km/h.

Answer

The speed of the bus is 80 km/h, and the speed of the truck is 95 km/h.