MathDB
Stop-and-go problem

Source: Brazil Math Olympiad - 2000

March 3, 2006
algebra proposedalgebra

Problem Statement

An infinite road has traffic lights at intervals of 1500m. The lights are all synchronised and are alternately green for 32\frac 32 minutes and red for 1 minute. For which vv can a car travel at a constant speed of vvm/s without ever going through a red light?