The motorcyclist covered the distance between the two settlements in 30 minutes, moving at a speed of 10 m / s.

The motorcyclist covered the distance between the two settlements in 30 minutes, moving at a speed of 10 m / s. How long will it take for him to get back if he moves at a speed of 15 m / s?

Given: t1 (duration of movement of a motorcyclist on a straight path) = 30 min; V1 (speed on a straight path) = 10 m / s; V2 (return speed) = 15 m / s.

The time that the motorcyclist will spend on the return journey is determined from the following equality: V1 * t1 = S (distance traveled) = V2 * t2, whence t2 = V1 * t1 / V2.

Let’s perform the calculation: t2 = 10 * 30/15 = 20 minutes.

Answer: The motorcyclist had to spend 20 minutes on the way back.