Question

От двух станций, расстояние между которыми 56 км, отошли одновременно в противоположных направлениях два поезда. Скорость одного поезда 45км/ч, а скорость второго на 12км/ч больше. Какое расстояние будет между поездами через 3 часа? Через 10 часов?

Answer 1

Ответ:

через 3 часа 362 км

через 10 часов 1020 км

Пошаговое объяснение:

скорость первого. 45 км/ч

скорость второго 57 км/ч

45+57=102 км отдаление друг от друга за 1 час

102•3=306 км это они отдалились за 3 часа но мы ещё не добавили расстояние между пунктами это расстояние 56 км тоесть

306+56=362 км расстояние за 3 часа

102•10=1020 км это расстояние за 10 часов

всегда пожалуйста

Answer 2

Calculation of the Distance between the Trains

To calculate the distance between the trains after a certain amount of time, we need to consider the speeds and directions of the trains. Let's break down the problem step by step.

Given information: - Distance between the two stations: 56 km - Speed of one train: 45 km/h - Speed of the other train: 45 km/h + 12 km/h = 57 km/h (12 km/h faster than the first train)

To find the distance between the trains after 3 hours, we can calculate the distance traveled by each train and then subtract their individual distances from the total distance between the stations.

Calculation for 3 Hours

Let's calculate the distance traveled by each train after 3 hours:

- Distance traveled by the first train: Speed * Time = 45 km/h * 3 h = 135 km - Distance traveled by the second train: Speed * Time = 57 km/h * 3 h = 171 km

Now, let's calculate the distance between the trains after 3 hours:

- Distance between the trains = Total distance between the stations - (Distance traveled by the first train + Distance traveled by the second train) - Distance between the trains = 56 km - (135 km + 171 km)

To find the distance between the trains after 10 hours, we can follow the same steps.

Calculation for 10 Hours

Let's calculate the distance traveled by each train after 10 hours:

- Distance traveled by the first train: Speed * Time = 45 km/h * 10 h = 450 km - Distance traveled by the second train: Speed * Time = 57 km/h * 10 h = 570 km

Now, let's calculate the distance between the trains after 10 hours:

- Distance between the trains = Total distance between the stations - (Distance traveled by the first train + Distance traveled by the second train) - Distance between the trains = 56 km - (450 km + 570 km)

Please note that the above calculations assume that the trains maintain a constant speed and do not stop or change their speed during the journey.