The passenger of the train noticed that two oncoming trains rushed past him with an interval of 6 minutes.

The passenger of the train noticed that two oncoming trains rushed past him with an interval of 6 minutes. The speed of the train is 100 km / h, and the speed of each of the trains is 60 km / h. Determine the distance between the trains when leaving the station. Consider that the movement of the train is uniform.

Given:

v1 = 100 km / h – train speed;

v2 = 60 km / h – speed of electric trains going towards the train;

t = 6 minutes = 0.1 hour – the time it took for the trains to pass the train.

It is required to determine the distance from one electric train to another S (kilometer).

Let’s find the speed of the train relative to the trains. Since the trains are moving towards the train, then:

v = v1 + v2 = 100 + 60 = 160 km / h.

Then, the distance between the trains will be equal to:

S = v * t = 160 * 0.1 = 16 kilometers.

Answer: the distance between trains is 16 kilometers.