SOLUTION: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes. How much time will it take all 3 of them working together

Question 351466: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes. How much time will it take all 3 of them working together to mix the 20 drinks?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes. How much time will it take all 3 of them working together to mix the 20 drinks?
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Steven rate: 1/5 job/min
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Sue rate: 1/10 job/min
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Jack rate: 1/15 job/min
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Together rate: 1/x job/min
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Equation:
rate + rate + rate = together rate
1/5 + 1/10 + 1/15 = 1/x
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Multiply thru by 30x to get:
6x + 3x + 2x = 30
11x = 30
x = 30/11 = 2 8/11 minutes (time to do the job together)
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Note: 8/11 minutes = (8/11)(60) = 43.6 seconds
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Answer: 2 min 43.6 seconds
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Cheers,
Stan H.
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