Question

Расстояние между городами Москва и Саратов( по железной дороге) равно 860 км. Из Москвы в Саратов вышел скорый поезд со скоростью 70 км/ч. Через 2 часа навстречу ему из Саратова вышел пассажирский поезд со скоростью 50 км/ч. Через сколько часов после выхода скорого поезда они встретятся

Answer 1

1) 70*2=140км -прошел первый поезд за 2 часа
2)860-140=720км - осталось
3) 70+50=120км/ч - скорость сближения
4) 720/120=6 ч - встреча

Answer 2

Calculation of Meeting Time

To calculate the time it takes for the fast train and the passenger train to meet, we need to determine the distance each train covers in the given time.

The fast train is traveling from Moscow to Saratov at a speed of 70 km/h. After 2 hours, the passenger train starts from Saratov and travels towards Moscow at a speed of 50 km/h.

Let's calculate the distance covered by each train:

- The fast train travels at a speed of 70 km/h for 2 hours, covering a distance of 140 km. - The passenger train travels at a speed of 50 km/h for an unknown time, covering a distance of 50x km.

To find the meeting time, we need to determine the time it takes for the passenger train to cover the remaining distance between the two trains.

The total distance between Moscow and Saratov is given as 860 km. Since the fast train has already covered 140 km, the remaining distance is 860 km - 140 km = 720 km.

Now, we can calculate the time it takes for the passenger train to cover the remaining distance:

- Time = Distance / Speed - Time = 720 km / 50 km/h - Time = 14.4 hours

Therefore, the fast train and the passenger train will meet approximately 14.4 hours after the fast train departs from Moscow.

Please note that this calculation assumes constant speeds for both trains and does not take into account any stops or delays that may occur during the journey.