Question 133
Providence Ave. has infinitely many traffic lights, all equally spaced and synchronized. The distance between any two consecutive ones is $1500$ m. The traffic lights stay green $1.5$ minute, red $1$ minute, then green again $1.5$ minute, and so on. Suppose that a car is passing through Providence Ave. at constant speed, equal to $v$ m/s. For which values for $v$ is it possible for the car to pass through an arbitrarily large number of traffic lights without stopping?