Question

When two bodies move uniformly towards each other, the distance between them decreases by 6 m/s. If both bodies move in the same direction with the same speeds (as above), the distance between them increases by 4 m/s.m Then the speeds of the two bodies are

• A. 6 m/s and 2 m/s
• B. 5 m/s and 1 m/s
• C. 3 m/s and3 m/s
• D. 7 m/s and 3 m/s

Answer 1

The correct option is B 5 m/s and 1 m/s

Let the speed of the bodies be $x$ and $y$

When the two bodies moving uniformly towards each other,

$x+y=6$ ....... (1)

and, when the bodies move in the same direction with the same speeds,

$x-y=4$ ..... (2)

Solving (1) and (2)

$x=6$ and $y=2$

The speed of the bodies is $5m/s$ and $1m/s$