SOLUTION: 6 hours after boy starts from a certain point on a bicycle at the rate of 12 miles an hour he is followed by a man with an automobile and is overtaken in 8 hours. What is the rate

Question 726353: 6 hours after boy starts from a certain point on a bicycle at the rate of 12 miles an hour he is followed by a man with an automobile and is overtaken in 8 hours. What is the rate of the automobile?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
6 hours after boy starts from a certain point on a bicycle at the rate of 12 miles an hour he is followed by a man with an automobile and is overtaken in 8 hours.
What is the rate of the automobile?
:
Let s = speed of the car
:
When the car catches the bike, they will have traveled the same distance
Write a distance equation; dist = speed * time
Bike travel time: 6+8 = 14 hrs
Car travel time = 8 hrs
:
Car dist = bike dist
8s = 14(12)
8s = 168
s = 21 mph is the speed of the car
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