SOLUTION: A motorcycle is traveling at 70 mph over takes a car that is traveling at 30 mph, that had a 3 hour head start. How long will it take for the motorcycle to meet the car?
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Question 950718: A motorcycle is traveling at 70 mph over takes a car that is traveling at 30 mph, that had a 3 hour head start. How long will it take for the motorcycle to meet the car?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Find the head start of the car in miles
mi
------------------
Start a stopwatch when the motorcycle leaves
Let = distance in miles the motorcycle
travels until they meet
---------------------
The car's equation:
(1)
The motorcycle's equation:
(2)
---------------------
Substitute (2) into (1)
(1)
(1)
(1) hrs
The motorcycle took 2 hrs and 15 min to
meet the car
------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
OK
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