Question

ИЗ ДВУХ ГОРОДОВ ДЛИНА МЕЖДУ КОТОРЫМИ 782 КМ НАВСТРЕЧУ ДРУГ ДРУГУ ВЫЕХАЛИ 2 ПОЕЗДА. СКОРОСТЬ 1 ИЗ НИХ 52 КМ \ Ч ДРУГОГО 61 КМ \ Ч ПУТИ ПРОЕХАВ 416 КМ, ПОЕЗДА ВСТРЕТИЛИСЬ НА СКОЛЬКО ЧАСОВ ОДИН ПОЕЗД ВЫШЕЛ РАНЬШЕ ДРУГОГО?

Answer 1

416:52 = 8 часов был в пути первый поезд
782-416 = 366 км проехал второй поезд
366:61 = 6 часов был в пути второй поезд
8-6 = 2 часа - на столько раньше вышел первый.

Answer 2

Problem Analysis

We have two trains traveling towards each other on a track with a distance of 782 km between them. The first train is traveling at a speed of 52 km/h, while the second train is traveling at a speed of 61 km/h. We need to determine how many hours it will take for the trains to meet if the first train started earlier than the second train.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for each train to travel the given distances:

- The first train travels a distance of 416 km at a speed of 52 km/h. Therefore, the time taken by the first train is 416 km / 52 km/h = 8 hours. - The second train travels a distance of 782 km - 416 km = 366 km at a speed of 61 km/h. Therefore, the time taken by the second train is 366 km / 61 km/h = 6 hours.

Since the first train started earlier, we need to find the time it takes for the second train to catch up to the first train. This can be calculated by subtracting the time taken by the second train from the time taken by the first train:

- Time taken for the second train to catch up = 8 hours - 6 hours = 2 hours.

Therefore, the second train catches up to the first train after 2 hours.

Answer

The second train catches up to the first train after 2 hours.