# 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.