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