Two trains left the two cities to meet each other at the same time, and the speed of one of them

Two trains left the two cities to meet each other at the same time, and the speed of one of them is 93.75 km / h, and the speed of the other is 12.3 km / h less. How long does it take between the cities 438 km?

1. Let’s find the speed at which the second train was traveling:

93.75 – 12.3 = 81.45 (km / h).

2. The distance between cities can be divided by the distance that the first train traveled and the distance that the second train traveled:

S = S1 + S2.

Let’s take the time after which the trains met for X. Let’s make the equation:

93.75 * X + 81.45 * X = 438;

175.2X = 438;

X = 439: 175.2;

X = 2.5 (hour).

Let’s check the solution of the equation:

93.75 * 2.5 + 81.45 * 2.5 = 438;

438 = 438.

Answer: trains met in 2 hours and 30 minutes.