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Question 1108486: Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. If it takes 50 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 0): Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. If it takes 50 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
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Together DATA:
time = 30 min/job ; rate = 1/30 job/min
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Larger Hose DATA:
time = 50 min/job ; rate = 1/50 job/min
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Smaller Hose DATA:
time = x min/job ; rate = 1/x job/min
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Equation:
rate + rate = together rate
1/x + 1/50 = 1/30
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(50*30) + 30x = 50x
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20x = 50*30
x = 150/2 = 75 min (Time for smaller hose to do the job)
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Cheers,
Stan H.
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