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Motion In Straight Line

Question
CBSEENPH11016913

A car travels along a straight line with speed v1 from A to B and returns back from B to A with speed v2. What is the average speed of the car?

Solution
Here, the body covers equal distances with different speeds. 

Avergae speed = Total distance travelled total time taken

Total distance = S1 + S2 = 2S ( because S1 = S2)

Total time = S1v1+S2v2 = S 1v1+1v2

Then, 

Average speed, vav2SS1v1+1v2 

That is,             vav=2v1v2v1+v2