A bike traveling at a constant speed takes 5 minutes longer to travel 10 miles than it would take to travel 10 miles at 60 miles per hour. At what speed, in miles per hour, is the bike traveling?

Since time = distance / rate, we can find the time (in hours) that it takes to travel 10 miles at 60mph:
\(t = \frac{10 miles }{ 60mph }= \frac{1}{6}\) hour

Since the distance covered is 10 miles at both speeds, we can set up this equation to get the speed of the bike, r:
\(\frac{1}{6} + \frac{5}{60} = \frac{10 }{ r} \)
Where r = the speed in mph of the bike.
\(15 r = 600\)

Solve for r to get 40 mph.