SOLUTION: A cyclist leaves his training base for a morning workout, riding at the rate of 20 mph. One hour later, his support staff leaves the base in a car going 58 mph in the same directio

Question 399332: A cyclist leaves his training base for a morning workout, riding at the rate of 20 mph. One hour later, his support staff leaves the base in a car going 58 mph in the same direction. How long will it take the support staff to catch up with the cyclist once the car leaves the base
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A cyclist leaves his training base for a morning workout, riding at the rate of 20 mph. One hour later, his support staff leaves the base in a car going 58 mph in the same direction. How long will it take the support staff to catch up with the cyclist once the car leaves the base
...
cyclist speed = 20 mph
..
in 1 hour cyclist travels 20 miles.
...
car speed = 58 mph
cyclist speed = 20 mph
catch up speed = 38mph
...
catchup distance = 20 miles
catchup speed = 38 mph
..
catch up time = 20/38
0.52 hours
OR 31.5 minutes
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