SOLUTION: A bicyclist leaves Bay Shore traveling at an average speed of 12 miles per hour. Three hours later, a car leaves Bay Shore, on the same route, traveling at an average speed of

Question 387876: A bicyclist leaves Bay Shore traveling at an average speed of 12 miles per hour.
Three hours later, a car leaves Bay Shore, on the same route, traveling at an
average speed of 30 miles per hour. How many hours after the car leaves Bay
Shore will the car catch up to the cyclist?
Found 2 solutions by rfer, jrfrunner:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
36 miles lead
36/30=1 1/5 hrs=1hr 12min
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
car will catch up to the bike when
the distance for the car = distance for the bike
--
distance =rate * time
--
distance bike= head start distance + distance after car leaves
= 12mph*3 hours + 12mph*t = 36+12t
distance car=30mph * t
--
set distance bike=distance car
36+12t=30t
36=18t
36/18=2=t
--
answer: the car will catch the bike in 2 hours after the cars leaves.
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