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Question

# When two bodies move uniformly towards each other, the distance between them diminishes by 16 m every 10 s. If bodies move in same direction with velocities of the same magnitude as before, the distance between them will decrease by 3 m in every 5 s. The velocity of each body is

A
1.5 m/s and 0.8 m/s
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B
1.1 m/s and 0.5 m/s
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C
2.4 m/s and 1.5 m/s
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D
3.0 m/s and 1.5 m/s
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Solution

## The correct option is B 1.1 m/s and 0.5 m/sLet velocity of bodies be v1 and v2. In first case, relative velocity u1=v1+v2....(i) In second case, relative velocity u2=v1−v2......(ii) ∴v1=u1+u22 and v2=u1−u22 Here u1=1610 m/s and u2=35 m/s After solving we have v1=1.1 m/s and v2=0.5 m/s

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