The cyclist traveled 2.4 km for the first 20 minutes. What path will he cover in 1.5 hours moving at the same speed?

First, we determine the speed v (in km / h) of the cyclist by the formula v = S / t, where S is the path length (in km), t is the time (in hours). In the task, for the first section of the path, given: S1 = 2.4 km, t1 = 20 minutes. Using the equality 1 hour = 60 minutes, we express the time in hours: t1 = 20 minutes = (20: 60) h = ⅓ h. Let us calculate the speed v1 = S1 / t1 = (2.4 km) / (⅓ h) = (2 , 4: ⅓) km / h = (2.4 * 3) km / h = 7.2 km / h. Since the cyclist moved without changing the speed, his speed v2 on the second section of the path is equal to v1. We have: t2 = 1.5 hours. Now the length of the path S2 is determined by the formula S = v * t. Let’s calculate: S2 = v2 * t2 = (7.2 km / h) * (1.5 h) = (7.2 * 1.5) km = 10.8 km.