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.

Options

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

B

Explanation

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`…(ii)
`:. v_1 = (u_1 + u_2)/(2) and v_2 = (u_1 - u_2)/(2)`
Here, `u_1 = (16)/(10) m//s` and `u_2 = (3)/(5)`
After solving we have
`v_1 = 1.1 m//s` and `v_2 = 0.5 m//s`.