Question

За 3 ч автобус преодолевает такое же расстояние, какое проедет поезд - за 2 ч. Туристы ехали 4 ч на автобусе и 3 ч на поезде,а всего они проехали 408 км . Найдите скорость автобуса и скорость поезда.(Напишите только систему,я сам решу).

Answer 1

Х - скорость автобуса
у - скорость поезда  , из условия задачи имеем
3х = 2у
4х + 3у  =408

Answer 2

System of Equations:

The system of equations to find the speed of the bus and the speed of the train is as follows:

Let's denote the speed of the bus as b (in km/h) and the speed of the train as t (in km/h).

The total distance traveled by the bus is given by the product of its speed and the time it traveled: 4b. The total distance traveled by the train is given by the product of its speed and the time it traveled: 3t.

Given that the total distance traveled by both the bus and the train is 408 km, we can form the equation: 4b + 3t = 408

Additionally, we know that the bus travels the same distance in 3 hours as the train does in 2 hours. This gives us the equation: 3b = 2t

These two equations form the system that needs to be solved to find the speed of the bus and the speed of the train.