Question

Из двух городов одновременно навстречу друг другу отправились скорый и товарный поезда. Они встретились через 13 часов. Определи расстояние между городами, если известно, что скорость скорого поезда 95 км / ч, а товарного поезда 3/5 от скорости скорого.

Answer 1

1) 95 : 5 * 3 = 57 км/ч — скорость товарного поезда.
2) 95 + 57 = 152 км/ч — скорость сближения.
3) 152 * 13 = 1976 км — расстояние между городами.
Ответ: 1976 км

Answer 2

95*3/5=57км/ч - скорость товарного поезда
95*13=1235 км проехал до встречи скорый поезд
57*13=741 км - проехал товарный поезд до встречи
1235+741=1976 км - расстояние между городами

Answer 3

Problem Analysis

We are given that a fast train and a freight train start from two cities simultaneously and meet each other after 13 hours. We need to determine the distance between the cities, given that the speed of the fast train is 95 km/h and the speed of the freight train is 3/5 of the speed of the fast train.

Solution

Let's assume the distance between the two cities is D km.

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

The fast train travels at a speed of 95 km/h for 13 hours, so the distance traveled by the fast train is 95 × 13 = 1235 km.

The freight train travels at a speed of 3/5 × 95 km/h for 13 hours, so the distance traveled by the freight train is (3/5 × 95) × 13 = 741 km.

Since the two trains meet each other, the sum of their distances traveled should be equal to the total distance between the cities.

Therefore, we have the equation 1235 + 741 = D.

Simplifying the equation, we find that the distance between the cities is 1976 km.

Answer

The distance between the two cities is 1976 km.

Explanation

The fast train travels at a speed of 95 km/h for 13 hours, covering a distance of 1235 km. The freight train travels at a speed of 3/5 × 95 km/h for 13 hours, covering a distance of 741 km. The sum of the distances traveled by both trains is 1235 + 741 = 1976 km. Therefore, the distance between the two cities is 1976 km.