The distance between points A and B is 168 km. A freight train travels this distance in 2.8 hours

| April 24, 2021 | education

The distance between points A and B is 168 km. A freight train travels this distance in 2.8 hours, and a high-speed train in 2.1 hours. How many hours will these trains meet if they go out to meet each other at the same time.

1. Using the formula V = S / T, we determine the speed of the freight and high-speed train:

VT = 168 / 2.8 = 60 (km / h);

Vs = 168 / 2.1 = 80 (km / h).

2. When trains move towards each other, the distance between them decreases, that is, the trains move closer together. Let’s calculate the speed of convergence of trains as the sum of the speeds of each of them:

Vsb = Vt + Vs = 60 + 80 = 140 (km / h).

3. Let’s find the time after which the trains will meet if they leave at the same time:

T = S / Vsb = 168/140 = 1.2 (h).

Answer: trains will meet in 1.2 hours.



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