SOLUTION: Luke paints a car in 6 hours while Daniel paints the same car in 3 hours. If they work together how long will it take them to paint the car?

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Question 512914: Luke paints a car in 6 hours while Daniel paints the same car in 3 hours. If they work together how long will it take them to paint the car?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Luke paints a car in 6 hours while Daniel paints the same car in 3 hours. If they work together how long will it take them to paint the car?
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Luke rate: 1/6 job/hr
Dan rate: 1/3 job/hr
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Together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/6 + 1/3 = 1/x
Multiply thru by 18x
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3x + 6x = 18
9x = 18
x = 2 hrs (time to do the job together)
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Cheers,
Stan H.
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