A body, moving in a straight line, covers half the distance with a speed V, the remaining part of the distance was covered with a speed V1 for half of the time and with a speed V2 for the other half of the time. What is the average speed of the body?
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a
V(V1+V2)(2V+V1+V2)
b
2V(V1+V2)(2V+V1+V2)
c
2V1V2(V+V1+V2)
d
V1V2(V+V1+V2)
answer is B.
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Detailed Solution
t2=S1V1=S2V2 S1=V1t2 S2 =V2t2 average velocity for the second half=( S1+S2)/t= V1+V22 overall average velocity ∴V=SS2V+SV1+V2=2VV1+V22V+V1+V2