A car is travelling at a speed of $60 \mathrm{~km} / \mathrm{hr}$ on a section of a National Highway having a downward gradient of $2 \%$. The driver of the car suddenly observes a stopped vehicle on the car path at a distance $130 \mathrm{~m}$ ahead, and applies brake. If the brake efficiency is $60 \%$, coefficient of friction is $0.7$, driver's reaction time is $2.5 \mathrm{~s}$, and acceleration due to gravity is $9.81 \mathrm{~m} / \mathrm{s}^{2}$, the distance (in meters) required by the driver to bring the car to a safe stop lies in the range
- $126$ to $130$
- $41$ to $45$
- $33$ to $37$
- $75$ to $79$