The distance between points A and B is 168 km. A freight train travels this distance in 2.8 hours
The distance between points A and B is 168 km. A freight train travels this distance in 2.8 hours, and a fast train in 2.1 hours. How many hours will these trains meet if they simultaneously leave these points towards each other?
To solve this problem, you first need to find the speed of each train.
To do this, we divide the distance between two points by the travel time.
For a fast train, we get:
168 / 2.1 = 80 km / h.
The speed of the freight train will be:
168 / 2.8 = 60 km / h.
Since the trains are moving towards each other, the speed of their approach will be equal to:
80 + 60 = 140 km / h.
We find the time of meeting the trains.
To do this, we divide the distance between points by the speed of the convergence of trains.
We get:
168/140 = 1.2 hours.
Answer: Trains will meet in 1.2 hours.