2008 AIME II Problem 2

Rudolph bikes at a constant rate and stops for a five-minute break at the end of every mile.
Jennifer bikes at a constant rate which is three-quarters the rate that Rudolph bikes, but Jennifer
takes a five-minute break at the end of every two miles. Jennifer and Rudolph begin biking at the
same time and arrive at the 50-mile mark at exactly the same time. How many minutes has it taken them?