a car goes from a town a to another Town b with a speed of 30 km per hour and returns back to the town a with a speed of 60 km per hour what is the average speed of a car during the complete journey
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when car goes from town a to town b the speed is 30 km/h
when car goes from town b to town a the speed is 60 km/h
avg speed = distance travelled/time taken
v avg = s+s/t1+t2
v avg = s+s/(s/v1+s/v2)
v avg = 2s/s(1/v1+1/v2)
= 1/1(1/v1+1/v2)
= 2/(v1+v2)/v1v2
= 2v1v2/v1+v2
now,
v1=30km/h
v2=60km/h
v avg =2*30*60/30+60
=3600/90
=40 km/h
hence , the ans is 40 km/h.
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