Question

Два поезда выехали с одной и тойже станции одновременно в одном направлении.один поезд движится со скоростью 50 км/ч,другой 60 км/ч.на коком расстоянии друг от друга окажутся поезда через 3 часа?на сколько часов один поезд прибудет раньше другово на станцию,находящуюся на расстоянии 600 км от станции отправления?

Answer 1

50*3=150
60*3=180
180-150=30км
на 30 км друг от друга окажутся поезда через 3 часа.

600:50=12
600:60=10
12-10=2
на 2 часа один поезд прибудет раньше другого на станцию.

Answer 2

Problem Analysis

We have two trains that depart from the same station simultaneously in the same direction. One train is traveling at a speed of 50 km/h, and the other train is traveling at a speed of 60 km/h. We need to determine the distance between the trains after 3 hours and the time difference between their arrivals at a station located 600 km away from the departure station.

Distance Between the Trains after 3 Hours

To find the distance between the trains after 3 hours, we can use the formula:

Distance = Speed × Time

For the first train traveling at 50 km/h, the distance covered in 3 hours is:

Distance1 = 50 km/h × 3 hours

For the second train traveling at 60 km/h, the distance covered in 3 hours is:

Distance2 = 60 km/h × 3 hours

To find the distance between the trains, we subtract the distance covered by the first train from the distance covered by the second train:

Distance between the trains = Distance2 - Distance1

Let's calculate the distances and find the distance between the trains.

Calculation

Distance1 = 50 km/h × 3 hours = 150 km.

Distance2 = 60 km/h × 3 hours = 180 km.

Distance between the trains = Distance2 - Distance1 = 180 km - 150 km = 30 km.

Therefore, the trains will be 30 km apart after 3 hours.

Time Difference between Train Arrivals

To find the time difference between the train arrivals at the station located 600 km away from the departure station, we can use the formula:

Time = Distance / Speed

For the first train traveling at 50 km/h, the time taken to cover a distance of 600 km is:

Time1 = 600 km / 50 km/h

For the second train traveling at 60 km/h, the time taken to cover a distance of 600 km is:

Time2 = 600 km / 60 km/h

To find the time difference, we subtract the time taken by the second train from the time taken by the first train:

Time difference = Time1 - Time2

Let's calculate the times and find the time difference between the train arrivals.

Calculation

Time1 = 600 km / 50 km/h = 12 hours.

Time2 = 600 km / 60 km/h = 10 hours.

Time difference = Time1 - Time2 = 12 hours - 10 hours = 2 hours.

Therefore, the first train will arrive 2 hours earlier than the second train at the station located 600 km away from the departure station.

Summary

- After 3 hours, the trains will be 30 km apart. - The first train will arrive 2 hours earlier than the second train at the station located 600 km away from the departure station.

Please let me know if you need any further assistance!