
Помогите пожалуйста! Два поезда-пассажирский и товарный-выехали одновременно в противоположных
направлениях из двух городов ,расстояние между которых 70км. Скорость пассажирского поезда 80 км/ч,а скорость товарного 11÷16 скорости пассажирского поезда.На каком расстояние друг от друга будут поезда через 3 часа?

Ответы на вопрос




Problem Analysis
We are given that two trains, a passenger train and a freight train, start simultaneously from two cities in opposite directions. The distance between the cities is 70 km. The passenger train travels at a speed of 80 km/h, while the freight train travels at a speed that is 11/16 of the passenger train's speed. We need to determine the distance between the trains after 3 hours.Solution
To solve this problem, we can use the formula: distance = speed × time.Let's calculate the distance traveled by each train after 3 hours.
The passenger train travels at a speed of 80 km/h, so the distance traveled by the passenger train after 3 hours is: distance_passenger_train = speed_passenger_train × time = 80 km/h × 3 h = 240 km.
The freight train travels at a speed that is 11/16 of the passenger train's speed. Therefore, the speed of the freight train is: speed_freight_train = (11/16) × speed_passenger_train = (11/16) × 80 km/h = 55 km/h.
The distance traveled by the freight train after 3 hours is: distance_freight_train = speed_freight_train × time = 55 km/h × 3 h = 165 km.
Now, let's calculate the distance between the trains after 3 hours. Since they are traveling in opposite directions, we can subtract the distance traveled by the freight train from the distance traveled by the passenger train: distance_between_trains = distance_passenger_train - distance_freight_train = 240 km - 165 km = 75 km.
Therefore, the trains will be 75 km apart after 3 hours.
Answer
The trains will be 75 km apart from each other after 3 hours.

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