Question

АААААА, СРОЧНО ПАМАГИТИ! Автобус и грузовая машина, скорость которой на 19 км/ч больше скорости автобуса, выехали одновременно навстречу друг другу из двух городов, расстояние между которыми 278 км. Найди скорости автобуса и грузовой машины, если известно, что они встретились через 2 ч. после выезда.

Answer 1

1) 19*2=38 км
2) 278-38=240
3) 240:2=120 км
4) 120+38=158
Ответ: Автобус проехал 120 км, а Грузовая машина 158 км

Answer 2

Пусть х скорость автобуса, тогда скорость грузовой машины х+19 , за 2 часа они вместе проехали 278 км. Составим уравнение:
(х+х+19)×2=278
4х+38=278
4х=316
х=79 км/ч скорость автобуса.
79+19=98 км/ч скорость грузовой машины.
Ответ: 79 км/ч автобус; 98 км/ч грузовая машина.

Answer 3

Problem Analysis

We are given that an bus and a truck are traveling towards each other from two different cities. The distance between the cities is 278 km. The truck's speed is 19 km/h faster than the speed of the bus. They meet each other 2 hours after their departure. 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 19 km/h faster, the speed of the truck is x + 19 km/h.

We know that the time taken by both vehicles to meet each other is 2 hours.

To find the speeds of the bus and the truck, 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 truck in 2 hours is 2(x + 19) km.

Since they meet each other, the sum of the distances traveled by the bus and the truck should be equal to the total distance between the cities, which is 278 km.

So, we can set up the equation:

2x + 2(x + 19) = 278

Simplifying the equation:

2x + 2x + 38 = 278

4x + 38 = 278

4x = 240

x = 60

Therefore, the speed of the bus is 60 km/h and the speed of the truck is 60 + 19 = 79 km/h.

Answer

The speed of the bus is 60 km/h and the speed of the truck is 79 km/h.