When two bodies movie uniformly towards each other, the distance between then decreases by ` 6 m // s` . If both the bodies move in the same direction with their same speed, the distance between them increases by `4 m // s` . What are the speeds of the two bodies.

Options

A. `3ms^(-1) and 3ms^(-1)`
B. `4ms^(-1) and 2ms^(-1)`
C. `5 ms^(-1) and 1ms^(-1)`
D. `7ms^(-1) and 3ms^(-1)`

Answer

C

Explanation

Let `v_(A) and v_(B)` are the velocities of two bodies.
In first case, `v_(A) + v_(B) = 6m//s` …(1)
In second case, `v_(A) - v_(B) = 4m//s` …(2)
From (1) & (2) we get, `v_(A) = 5 m//s and v_(B) = 1 m//s`