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Question

# The average velocity of Ram over a given time duration is 12 m/s. If he travels the first half of the total time with velocity x m/s and the seconds half of the total time with velocity 2x m/s. Calculate the value of x.

A
10 m/s
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B
4 m/s
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C
8 m/s
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D
2 m/s
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Solution

## The correct option is C 8 m/s Let the total time be 2t Distance travelled by Ram in going from A to C d1=x×t=xt Distance travelled by Ram in going from C to B d2=2x×t=2xt Total distance =d1+d2=(x+2x)t=3xt Average speed =3x=24 x=8 m/s Alternative method: As, the velocity of Ram is changing at uniform rate x = 8 m/s

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