Question

Два поезда вышли на встречу из двух городов навстречу друг другу с одинаковой скоростью и встретились через 6 часов после выхода второго. Первый поезд вышел на 3 часа раньше и проехал на 168 км больше. Каково расстояние между городами

Answer 1

1) 186:3=62 (км/ч) - скорость поездов
2) 62*6=372 (км) - прошёл 2-ой поезд
3) 6+3=9 (ч.) - был в пути 1-ый поезд
4) 62*9=558 (км) - прошёл 1-ый поезд
5) 558+372=930 (км)
Ответ: расстояние между городами 930 километров.

Answer 2

Problem Analysis

We are given that two trains started from two cities towards each other at the same speed and met after 6 hours from the departure of the second train. The first train started 3 hours earlier and traveled 168 km more than the second train. We need to find the distance between the two cities.

Solution

Let's assume the speed of each train is v km/h.

The first train traveled for 6 + 3 = 9 hours, and the second train traveled for 6 hours.

We can use the formula distance = speed × time to calculate the distance traveled by each train.

The distance traveled by the first train is 9v km, and the distance traveled by the second train is 6v km.

We are given that the first train traveled 168 km more than the second train. So, we can set up the equation:

9v = 6v + 168

Simplifying the equation, we get:

3v = 168

Solving for v, we find:

v = 56

Now, we can calculate the distance between the two cities using the formula distance = speed × time.

The distance between the two cities is:

distance = 6v = 6 × 56 = 336 km

Therefore, the distance between the two cities is 336 km.

Answer

The distance between the two cities is 336 km.