Height (s) of tower = 500 m

Velocity (v) of sound = 340 m s^{-1}

Acceleration (g) due to gravity = 10 m s^{-1}

Initial velocity (u) of the stone = 0

Time (t_{1}) taken by the stone to fall to tower base

As per second equation of motion:

s= ut_{1} + (½) g (t_{1}) ^{2}

500 = 0 x t_{1} + (½) 10 (t_{1}) ^{2}

(t_{1})^{2} = 100

t_{1} = 10 s

Time (t_{2}) taken by sound to reach top from tower base = 500/340 = 1.47 s.

t = t_{1} + t_{2}

t = 10 + 1.47

t = 11.47 s.

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