I need help in the below problem.
Thanks
1. Let r denote the distance XA and s the distance BY. Use the definition of speed: $\displaystyle speed = \frac{distance}{time}~\implies~ time = \frac{distance}{speed}$
2. You can extract a system of simultaneous equations from the text:
$\displaystyle \frac r4 = \frac{s+120}6~\wedge~\frac{r+120}6=\frac s4$
Solve for r and s.