FYKOS Year 34 Series 6 Problem 3 — three times is enough! · FYKOS 34 #34.6.3
Physics · mechanics · optics
Problem
At the beginning of a segment of a road with a length a=2.8km, there is a traffic light with the period T, on which green light has a duration t1=79s. At the end of this segment, there is another traffic light with the same period, but on which the green light has a duration t2=53s. On both of the traffic lights the green light always switches on at the same moment. Calculate the average time it takes to travel the whole path, including passing both of the traffic lights, if you are moving at the speed v=60km⋅h−1 between the lights. Neglect the time it takes to accelerate and decelerate.