Question

Из города выехал автобус через 2 часа вслед за ним по той же дороге выехал автомобиль ,еще через 3 часа автомобиль догнал автобус.Если бы скорость автомобиля была на 10км/ч больше ,то он бы догнал автобус за 2 часа.Сколько километров прошел автобус до встречи?Скорости автомобиля и автобуса постоянны

Answer 1

126*7-8 1505-840 Вроде так.....

Answer 2

Problem Analysis

We are given that a bus leaves a city after 2 hours, and a car leaves the same city after 3 hours. The car catches up to the bus in 2 hours. If the car's speed was 10 km/h faster, it would have caught up to the bus in 2 hours. We need to find the distance traveled by the bus before the meeting.

Solution

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

We know that the car catches up to the bus in 2 hours. This means that the distance traveled by the car in 2 hours is equal to the distance traveled by the bus in 5 hours (2 hours after the bus started and 3 hours after the car started).

Using the formula distance = speed × time, we can write the following equations:

For the car: 2y = 5x For the car traveling 10 km/h faster: 2(y + 10) = 2x We can solve this system of equations to find the values of x and y.

Solution Steps

1. Solve equation for y in terms of x: y = (5/2)x

2. Substitute the value of y from step 1 into equation 2((5/2)x + 10) = 2x

3. Simplify equation **5x +