# Two motorcyclists left two villages at the same time towards each other, One of them was driving

Two motorcyclists left two villages at the same time towards each other, One of them was driving at a speed of 40 km / h and the other 60 km / h, Motorcyclists met after 3 hours, What is the distance between these cities?

To solve this problem, it is necessary to find the distances that the motorcyclists traveled in 3 hours separately and add them up.
In order to find the distance traveled by the motorcyclist, we will use the following formula: S = V * t, where S is the distance traveled by the motorcycle, V is the speed of the motorcycle, t is the time that the motorcycle was on the way. In our case, V1 is the speed of the first motorcyclist, V2 is the speed of the second motorcyclist, t (time) for both motorcyclists is the same – 3 hours.

The general formula for finding the distance between cities S would look like this: S = S1 + S2, where S1 is the distance traveled by the first rider and S2 is the distance traveled by the second rider.
In turn, S1 = V1 * t, S2 = V2 * t. Let’s substitute the data into the general formula:
S = S1 + S2 = V1 * t + V2 * t = (V1 + V2) * t.

Let’s substitute our data into the formula: S = (V1 + V2) * t = (40 km / h + 60 km / h) * 3 h = 100 km / h * 3 h = 300 km.

Answer. The distance between the cities is 300 km.

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