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Q.

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

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a

1.5 m/s, 0.8 m/s

b

1.1 m/s, 0.5 m/s

c

2.4 m/s, 1.5 m/s

d

3.0 m/s, 1.5 m/s

answer is B.

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Detailed Solution

Let velocity of bodies be v1 and v2.in first caseu1 = v1+v2in second caseu2 = v1-v2∴    v1 = u1+u22   and v2 = u1-u22Here u1 = 1610m/s      and u2 = 35After solving we havev1= 1.1 m/s  and v2 = 0.5 m/s
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