In a car race, sound signals emitted by the two cars are detected by a detector on the straight track at the end of the race. The frequency observed for the two cars is $330 \mathrm{Hz}$ and $360 \mathrm{Hz}$ respectively, while the original frequency is $300 \mathrm{Hz}$ for both the cars. The race ends with a separation of $100 \mathrm{m}$ between the cars. Assume both cars move with constant velocity and velocity of sound is $330 \mathrm{m} {\mathrm{s}}^{-1}$. Find the time taken by the winning car (in second).

Hence, the correct answer is 4.00.