Question

ПОМОГИТЕ ПРОШУ!!!!!УМОЛЯЮ!!Догонит ли пассажирский поезд товарный поезд на перегоне в 70 км (расстояние между станциями),если он вышел со станции через полчаса после товарного и его скорость на 24 км/ч больше скорости товарного поезда,равной 48 км/ч?

Answer 1

Скорость товарного поезда 48 км/час                                                                 скорость пассажирского поезда  48+24=72 км/час                                               за полчаса товарный проедет 48:2=24 км пути                                                    пассажирский только выходит                                                                           70-24=46 км пути товарному надо еще проехать                                                 72:2=36 км пройдет пассажирский за полчаса времени                                     46-36=10 км                                                                                              Ответ: пассажирский поезд догонит товарный поезд

Answer 2

Problem Analysis

To determine if the passenger train can catch up to the freight train, we need to compare their speeds and the time it takes for the passenger train to cover the distance between the stations.

Given Information

- Distance between the stations: 70 km - Speed of the freight train: 48 km/h - Speed of the passenger train: 48 km/h + 24 km/h = 72 km/h (24 km/h faster than the freight train) - The passenger train departs from the station half an hour after the freight train.

Calculation

To calculate if the passenger train can catch up to the freight train, we need to determine the time it takes for each train to cover the distance between the stations.

Let's start by calculating the time it takes for the freight train to cover the distance: Time taken by the freight train = Distance / Speed = 70 km / 48 km/h = 1.4583 hours

Since the passenger train departs half an hour after the freight train, we need to subtract this time from the total time taken by the freight train: Adjusted time taken by the freight train = Time taken by the freight train - Half an hour = 1.4583 hours - 0.5 hours = 0.9583 hours

Now, let's calculate the time it takes for the passenger train to cover the distance: Time taken by the passenger train = Distance / Speed = 70 km / 72 km/h = 0.9722 hours

Conclusion

Comparing the adjusted time taken by the freight train (0.9583 hours) and the time taken by the passenger train (0.9722 hours), we can see that the passenger train takes slightly longer to cover the distance. Therefore, the passenger train will not be able to catch up to the freight train on this stretch.

Please note that the calculations are based on the given information and assumptions made.