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. Calculate the velocity of each body.
Text Solution
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Let velocity of bodies be v 1 and v 2 .
in first case
u 1 = v 1 + v 2 .... (i)
in second case
u 2 = v 1 – v 2 .... (i)
∴ v 1 = 
and v 2 = 
Here u 1 = 
m/s and u 2 = 
After solving we have
Ans v 1 = 
m/s and v 2 = 
m/s. Ans
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