A stationary professor Farnsworth is trying to determine who will win the intergalactic go-kart race. The only two contenders left are Leela and Fry, with Leela trailing Fry by 50 m and Fry 50 m from the finish line. Both engines produce identical 600 Hz tones. Fry thought if pushing one of the pedals down made him go fast, then pushing both them dowrn would make him go faster. As a consequence he is pressing down on both the brake and the gas and is traveling slower than Leela. Fry maintains a steady pace of 10 m/s traveling away from the professor, as shown in the figure. The professor uses his "frequency-O-meter" to determine that there is a 54 Hz sound at his location in addition to the sound from the engines. a. How fast is Leela traveling at that time?
b. If both racers maintain a constant speed, who will win the race? Show your work.