# The motorcyclist drove for 3 hours at an average speed of 60 km / h and 2 hours at an average speed of 70 km / h.

December 31, 2020 | education

| **The motorcyclist drove for 3 hours at an average speed of 60 km / h and 2 hours at an average speed of 70 km / h. How far has he traveled in all this time? Find out the average speed of his movement.**

Given:

Vav3 = 60 km / h – average speed of 3 hours of travel

Vav2 = 70 km / h – average speed of 2 hours of travel

t1 = 3 h – travel time of the 1st section

t2 = 2 h – travel time of the 2nd section

Decision:

S = S1 + S2

S1 = Vav3 * t1 = 60 * 3 = 180 km – path length of the 1st section

S2 = Vav2 * t2 = 70 * 20 = 140 km – path length of the 2nd section

S = 180 + 140 = 320 km – distance for all time

Vav.total = S / (t1 + t2) = 320 / (3 + 2) = 64 km / h – total average speed

Answer: S = 320 km, Vav.total = 64 km / h

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