Question

Автобус и грузовая машина, скорость которой на 18км/ч больше скорости автлбуса, выехали одновременно навстречу друг друга из двух городов, расстояние между которыми 456 км. Найди скорости автобуса и грузовой машины, если известно, что они встретились через 3ч. после выезда.

Answer 1

V1=67 км/ч
V2=67+18=85 (км/ч)

Answer 2

Problem Analysis

We are given that a bus and a truck, with a speed 18 km/h greater than the speed of the bus, start from two cities that are 456 km apart. They meet each other after 3 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 18 km/h greater than the speed of the bus, the speed of the truck is (x + 18) km/h.

We know that the distance traveled by both the bus and the truck is the same, as they meet each other. The distance traveled by the bus can be calculated by multiplying its speed by the time it took to meet the truck, which is 3 hours. Similarly, the distance traveled by the truck can be calculated by multiplying its speed by the same time.

According to the problem, the sum of the distances traveled by the bus and the truck is equal to the total distance between the two cities, which is 456 km.

Using this information, we can set up the following equation:

Distance traveled by the bus + Distance traveled by the truck = Total distance

x * 3 + (x + 18) * 3 = 456

Simplifying the equation:

3x + 3(x + 18) = 456

Solving for x:

3x + 3x + 54 = 456

6x + 54 = 456

6x = 402

x = 67

Therefore, the speed of the bus is 67 km/h and the speed of the truck is (67 + 18) = 85 km/h.

Answer

The speed of the bus is 67 km/h and the speed of the truck is 85 km/h.