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Q.

A particle travels the first half of its total distance along a straight line with a speed ‘v’ kmph and the next half, with a speed of 60 kmph. If the average speed for the journey is 40 kmph, the value of ‘v’ is

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a

50 kmph

b

35 kmph

c

30 kmph

d

20 kmph

answer is B.

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Detailed Solution

vavg=2v1v2v1+v2

40=2×v×60(v+60)

⇒40v+2400=120v

⇒80v=2400

⇒v=30kmph

v1=vkmph

v2=60kmph

vavg=40kmph

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