Question

Решите пожалуйста задачу 551. Поезд должен был пройти расстояние в 630 км за 14 час. Пройдя 2/3 этого расстояния, он был задержан на 1 час 10 мин. С какой скоростью он должен продолжать путь, чтобы прийти к месту назначения без опоздания?

Answer 1

1) 630*2/3=420 (км) - 2/3 всего пути
2) 630:14=45 (км/ч) -первоначальная скорость поезда
3) 420: 45 = 9 1/3 (ч) - время затраченное на первый участок пути
4) 14 - 9 1/3 = 4 2/3 (ч) - время по плану на второй участок пути
5) 1 ч 10 мин = 1 1/6 ч - время задержки поезда
6) 4 2/3 - 1 1/6 = 3 1/2 ( ч) - время на прохождение второго участка пути
7) 630 -420 = 210 (км) - второй участок пути
8) 210 : 3 1/2 = 60 (км/ч) - скорость на втором участке пути

Ответ: Поезд продолжил движение со скоростью 60 км/ч

Answer 2

Problem Analysis

To solve this problem, we need to find the speed at which the train should continue its journey in order to reach its destination without delay. We are given that the train was supposed to cover a distance of 630 km in 14 hours. However, after covering 2/3 of the distance, it was delayed for 1 hour and 10 minutes. We need to calculate the speed at which the train should continue to travel to avoid being late.

Solution

Let's break down the problem step by step:

1. Calculate the distance covered by the train before the delay: - The train covered 2/3 of the total distance, which is (2/3) * 630 km = 420 km.

2. Calculate the time taken by the train before the delay: - The train was supposed to cover the distance in 14 hours. - Therefore, the time taken by the train before the delay is 14 hours.

3. Calculate the remaining distance to be covered by the train: - The total distance is 630 km, and the train has already covered 420 km. - Therefore, the remaining distance is 630 km - 420 km = 210 km.

4. Calculate the remaining time available for the train to reach its destination: - The train was delayed for 1 hour and 10 minutes, which is 1 hour + 10 minutes = 1.17 hours. - Therefore, the remaining time available for the train to reach its destination is 14 hours - 1.17 hours = 12.83 hours.

5. Calculate the speed at which the train should continue its journey: - Speed = Distance / Time - Speed = 210 km / 12.83 hours = 16.34 km/h (rounded to two decimal places).

Answer

The train should continue its journey at a speed of 16.34 km/h in order to reach its destination without delay.

Please let me know if you need any further assistance!