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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