Question

What are possible speeds of two objects, if they move uniformly towards each other, they get $4m$ closer in each second and if they move uniformly in the same direction with the original speeds they get $4.0m$ closer in each $10s$

• A. $2.8m/s$ and $1.2m/s$
• B. $5.2m/s$ and $4.6m/s$
• C. $3.2m/s$ and $1.2m/s$
• D. $2.2m/s$ and $1.8m/s$

Answer 1

Answer: (D)

$2.2m/s$ and $1.8m/s$

here, $v_1+v_2=4....\left(1\right)$ and $v_1-v_2=4/10=0.4...\left(2\right)$
$\left(1\right)+\left(2\right)\Rightarrow 2v_1=4.4$ or $v_1=2.2m/s$
and $v_2=4-2.2=1.8m/s$