(c) When engine approaches towards observer
$n^{'} = n\left( \frac{v}{v - v_{S}} \right)$
When engine going away from observer
$n" = \left( \frac{v}{v + v_{S}} \right)n$
$\therefore\frac{n'}{n"} = \frac{v + v_{S}}{v - v_{S}} \Rightarrow \frac{5}{3} = \frac{340 + v_{S}}{340 - v_{S}} \Rightarrow v_{S} = 85\ m/s$