James and Pat are driving a distance of 310 miles. James averages 5 miles faster than Pat. James drives 130 miles of the trip, Pat drives the rest. If the total time of the trip is 5 hours, find the rate of each driver.
let james' rate be x, then Pat's rate is x-5,
then we have 130/x +(310-130)/(x-5) = 5
130/x +180/(x-5) = 5
solve this we have x = 65 mph
pat's rate is 60 mph
Was this solved using the distance/ rate formula?
yes, the distance/rate = time
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