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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

$v_{avg} = \frac{2 v_{1} v_{2}}{v_{1} + v_{2}}$

$40 = \frac{2 \times v \times 60}{(v + 60)}$

$\Rightarrow 40 v + 2400 = 120 v$

$\Rightarrow 80v = 2400$

$\Rightarrow v = 30 kmph$

$v_{1} = vkmph$

$v_{2} = 60kmph$

$v_{avg} = 40kmph$

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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