Question

Автобус и грузовая машина, скорость которой на 15 км/ч больше скорости автобуса, выехали одновременно навстречу друг другу из двух городов, расстояние между которыми 572 км. Найди скорости автобуса и грузовой машины, если известно, что они встретились через 4 ч. после выезда. скорость автобуса —? скорость грузовой машины-?

Answer 1

Пусть скорость автобуса х км/ч. Тогда скорость грузовика х + 15 км/ч. По условию задачи
(Х + Х+ 15)•4 = 572
(2х + 15)• 4 = 572
8х + 60 = 572
8х = 572 - 60
8х = 512
Х = 512 : 8
Х = 64 км/ч скорость автобуса

64 + 15 = 79 км/ч скорость грузовика

Answer 2

Problem Analysis

We are given that a bus and a truck, whose speed is 15 km/h greater than the speed of the bus, start from two cities and travel towards each other. The distance between the cities is 572 km. They meet after 4 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 greater than the speed of the bus, the speed of the truck is x + 15 km/h.

We know that the distance traveled by both the bus and the truck is equal to the total distance between the cities, which is 572 km.

The time taken by the bus to travel this distance is 4 hours. Therefore, the equation for the distance traveled by the bus is:

Distance = Speed × Time

Substituting the values, we get:

572 = x × 4

Simplifying the equation, we find:

x = 572 / 4

Calculating the value, we get:

x = 143 km/h

So, the speed of the bus is 143 km/h.

The speed of the truck is 15 km/h greater than the speed of the bus, so:

Speed of truck = Speed of bus + 15

Substituting the value of the speed of the bus, we get:

Speed of truck = 143 + 15

Calculating the value, we find:

Speed of truck = 158 km/h

Therefore, the speed of the bus is 143 km/h and the speed of the truck is 158 km/h.

Answer

The speed of the bus is 143 km/h and the speed of the truck is 158 km/h.