SOLUTION: It takes you 15 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?

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Question 340038: It takes you 15 minutes to wash a car and it takes a friend 6 minutes to wash a car. How long does it take the two of you to wash 7 cars if you work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It will take the both of you working together
7 times as long as it takes the both of you
together to wash 1 car
In words:
(your rate) + (friend's rate) = (rate working together)
Let x = minutes it takes with both working
1%2F15+%2B+1%2F6+=+1%2Fx
Multiply both sides by 30x
2x+%2B+5x+=+30
7x+=+30
x+=+30%2F7
This is the time it takes both working together to wash 1 car
For 7 cars, multiply by 7
7x+=+7%2A%2830%2F7%29
7x+=+30
It will take 30 min