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.

Answer

`0.5m//s`

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) ....(i)`
`:. v_(1)=(u_(1)+u_(2))/(2)` and `v_(2)=(u_(1)-u_(2))/(2)`
Hence `u_(1)=(16)/(10)m//s` and `u_(2)=(3)/(5)m//s`
After solving we have
`v_(1)=1.1m//s ` and `v_(2)=0.5m//s`