We left two cities at the same time to meet each other and met after 18 hours.

| August 6, 2021 | education

We left two cities at the same time to meet each other and met after 18 hours. Determine the speed of each train if the distance between the cities is 1620 km, and the speed of one train is 10 km more than the speed of the other. How to solve by equation and by actions?

The solution of the problem.
Let’s take the speed of 1 train for x, then (x + 10) is the speed of 2 trains.
Let’s compose and solve the equation:
(x + x + 10) * 18 = 1620;
2x + 10 = 90;
2x = 80;
x = 40 (km / h) is the speed of the first train.
40 + 10 = 50 (km / h) – the speed of the second train.
Arithmetic way.
Train convergence speed:
1620: 18 = 90 (km / h).
If the difference of 10 km is subtracted from the total speed, then the speed of the trains will be equal.
(90-10): 2 = 40 (km / h) – the speed of the first train.
40 + 10 = 50 (km / h) – the speed of the second train.
Answer: 40 km / h, 50 km / h.



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