Question

ТВОРЧЕСКАЯ РАБОТА 6Реши задачу.Один скоростной поезд вышел из города А в 12.00 со скоро-стью 220 км/ч. Навстречу ему из города В в 13.00 вышел другойскоростной поезд со скоростью 240 км/ч. Длина железнодо-рожного пути между городами А и В - 1 140 км. В которомчасу поезда встретятся на станции С?Реши задачу, дополнив схематическое изображение.С13:0012:00V. = 220 км/чAV, = 240 км/ч2ВS= 1140 км​

Answer 1

Ответ:

15:00

Пошаговое объяснение:

13-12=1 (ч)-на столько раньше выехал первый поезд

За это время он проехал - 220*1=220 (км)

1140-220=920 (км) - осталось расстояние между поездами

240+220=460 (км/ч) - скорость сближения поездов

920 : 460= 2 (ч) - через столько они встретятся

13:00+2= 15:00 - в это время встретятся поезда

Answer 2

Problem Analysis

We are given two high-speed trains traveling towards each other on a railway track between cities A and B. The first train departs from city A at 12:00 with a speed of 220 km/h, while the second train departs from city B at 13:00 with a speed of 240 km/h. The total distance between the two cities is 1,140 km. We need to determine at what time the trains will meet at station C.

Solution

To solve this problem, we can use the concept of relative speed. The relative speed of the two trains is the sum of their individual speeds. Let's denote the time at which the trains meet at station C as 't' hours after the first train departs from city A.

The distance covered by the first train in 't' hours is given by: Distance covered by first train = Speed of first train * Time = 220 * t

Similarly, the distance covered by the second train in 't' hours is given by: Distance covered by second train = Speed of second train * Time = 240 * (t - 1)

Since the trains are traveling towards each other, the sum of the distances covered by both trains should be equal to the total distance between the two cities: Distance covered by first train + Distance covered by second train = Total distance 220 * t + 240 * (t - 1) = 1140

Now, we can solve this equation to find the value of 't'.

Calculation

Let's solve the equation to find the value of 't':

220t + 240(t - 1) = 1140 220t + 240t - 240 = 1140 460t - 240 = 1140 460t = 1380 t = 1380 / 460 t = 3

Therefore, the trains will meet at station C 3 hours after the first train departs from city A.

Answer

The trains will meet at station C at 15:00 (3 hours after the first train departs from city A at 12:00).

I hope this helps! Let me know if you have any further questions.