# From one settlement to another, a motorcyclist was moving at a speed of v1 = 60 km / h, he traveled back at a speed

From one settlement to another, a motorcyclist was moving at a speed of v1 = 60 km / h, he traveled back at a speed of v2 = 15 m / s. What is the average speed of a motorcyclist during the entire movement.

Let’s translate the value 15 m / s into km / h:
15 m / s = 15 * (0.001 km / (1/3600 h)) = 54 km / h.
Let’s designate: y km – distance between two settlements.
Let’s find the time of movement from the first point to the second:
y / 60 hours;
Let’s find the travel time on the way back:
y / 54 hours;
Let’s find the total time of movement:
y / 60 + y / 54 = 9y / 540 + 10y / 540 = 19y / 540
Average speed is the ratio of the total distance traveled to the total travel time. Let’s find the average speed:
2y / (19y / 540) = 2y * 540 / 19y = 56.842 km / h;
Answer: The average speed is 56.842 km / h.

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