Question

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

• A. $3m/s$ and $3m/s$
• B. $4m/s$ and $2m/s$
• C. $5m/s$ and $1m/s$
• D. $7m/s$ and $3m/s$

Answer 1

Answer: (C)

$5m/s$ and $1m/s$

Let $v_A$ and $v_B$ are the velocities of two bodies
In first case, $v_A+v_B=6m/s$ ...........$\left(1\right)$
In second case, $v_A-v_B=4m/s$ ...........$\left(2\right)$
From $\left(1\right)$ and $\left(2\right)$ we get, $v_A=5m/s$ and $v_B=1m/s$