A car travels the 120 miles from a to b at 60 miles per hour, and then returns to a on the same road. If the average rate of the round trip is 45 miles per hour, what is the rate, in miles per hour, of the car traveling back from b to a ?

Guest Apr 8, 2019

#1**+2 **

The car travels a total of 120 + 120 = 240 miles

rate x time = distance

time = distance/rate

time = 240mi / 45 mi/hr = 240/45 = 5.3333333333333333 hr

120 mi / 60 mi/hr = 2 hours for first leg of the trip

Return trip takes 5.33333 - 2 hours = 3.33333 hrs

rate times time = distance

rate = distance/time

rate = 120 / 3.3333 = 36 mi /hr

ElectricPavlov Apr 8, 2019