t

_{1} = time for the sound of gun to reach the observer

$t_1 = \dfrac{1342 - x}{335}$

$t_1 = \dfrac{1342}{335} - \dfrac{x}{335}$

t_{2} = time for the sound of impact to reach the observer

$t_2 = \dfrac{1342}{503} + \dfrac{x}{335}$

$t_1 - \frac{1}{4} = t_2$

$\left( \dfrac{1342}{335} - \dfrac{x}{335} \right) - \dfrac{1}{4} = \dfrac{1342}{503} + \dfrac{x}{335}$

$\dfrac{2}{335}x = 1.088$

$x = 182.24 ~ \text{m from the target}$ *answer*

can someone explain how to get the equation t2

Ang t2 kasi ay sound ng impact so ibig sabhn hihintayin mo munang tumama yung bala sa target ang oras nun ay 1352/503 plus iaadd mo ung tunog na magbbounce papunta sa observer pabalik na un kaya x/335