SOLUTION: A red sports car leaves Madison traveling to Green Bay at 60 mi/hr. At the same time, a green minivan leaves Columbus traveling 40 mi/hour. Columbus is 30 miles closers to Green Ba

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Question 125959: A red sports car leaves Madison traveling to Green Bay at 60 mi/hr. At the same time, a green minivan leaves Columbus traveling 40 mi/hour. Columbus is 30 miles closers to Green Bay than Madison. When will the sports car catch the minivan and at what distance from Madison?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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car leaves Madison traveling to Green Bay at 60 mi/hr. At the same time, a green minivan leaves Columbus traveling 40 mi/hour. Columbus is 30 miles closers to Green Bay than Madison. When will the sports car catch the minivan and at what distance from Madison?
:
Find the distance from Madison first
:
Let d = distance from Madison
then
(d-30) = distance from Columbus
:
Since they left at the same time we know their travel times will be equal
:
Write a time equation: Time = distance%2Fspeed
:
d%2F60 = %28%28d-30%29%29%2F40
:
Cross mutiply:
60(d-30) = 40d
:
60d - 1800 - 40d
:
60d - 40a = 1800
:
20d = 1800
d = 1800%2F20
d = 90 mi is the distance from Madison when the car catches the van
:
Find the time:
Time = 90%2F60
time = 1.5 hrs
:
:
Check solution using the van's speed which travels 90 - 30 = 60 mi
time = 60/40
time = 1.5 hrs also