Question

За 3 часа автобус преодолевает такое же расстояние как и поезд за 2 часа.Туристы ехали на автобусе 4 часа. а на поезде 3 часа.всего они проехали 408 км. Найдите скорость автобуса и поезда. решите способом сложения

Answer 1

3x=2y.               3x-2y=0. Умножаем все на 3.          9x-6y=0.           17x=816
4x+3y=408.       4x+3y=408. Умножаем все на 2.     8x+6y=816.       x=48
432-6y=0
-6y=-432
Y=72
Ответ:(48;72)

Answer 2

Problem Analysis

We are given that a bus covers the same distance in 3 hours as a train covers in 2 hours. The tourists traveled on the bus for 4 hours and on the train for 3 hours, covering a total distance of 408 km. We need to find the speeds of the bus and the train.

Solution

Let's assume the speed of the bus is x km/h and the speed of the train is y km/h.

We can set up the following equations based on the given information:

Equation 1: Distance covered by the bus in 3 hours = Distance covered by the train in 2 hours Equation 2: Distance covered by the bus in 4 hours + Distance covered by the train in 3 hours = Total distance of 408 km

Calculating the Speeds

Let's solve the equations to find the speeds of the bus and the train.

Equation 1: Distance covered by the bus in 3 hours = Distance covered by the train in 2 hours 3x = 2y

Equation 2: Distance covered by the bus in 4 hours + Distance covered by the train in 3 hours = Total distance of 408 km 4x + 3y = 408

To solve these equations, we can use the method of substitution or elimination.

Let's use the method of substitution to solve the equations:

From Equation 1, we can express y in terms of x: y = (3x) / 2

Substituting this value of y into Equation 2: 4x + 3((3x) / 2) = 408 4x + (9x / 2) = 408 (8x + 9x) / 2 = 408 17x / 2 = 408 17x = 816 x = 816 / 17 x ≈ 48

Now, substituting the value of x back into Equation 1 to find y: 3(48) = 2y 144 = 2y y = 144 / 2 y = 72

Answer

The speed of the bus is approximately 48 km/h and the speed of the train is approximately 72 km/h.

Please let me know if I can help you with anything else.