SOLUTION: Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it
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-> SOLUTION: Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it
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Question 1113473: Your pump empties the water from a swimming pool in 6 hours. When your friend's pump is used together with your pump, the pool is emptied in 1.5 hours. How long (in hours) does it take your friend's pump to empty the pool when working alone? Found 2 solutions by rothauserc, ikleyn:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! (1/6) + (1/x) = 1/(3/2) = (2/3) = (4/6)
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1/x = (3/6) = (1/2)
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x = 2
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your friend's pump takes 2 hours to empty the pool when working alone
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:
Your pump drains of the tank volume per hour.
When two pumps work together, they drain = of the tank volume per hour. ( 3/2 = 3/2 hours = 1.5 hours )
Hence, your friend' pump drains - = - = = of the tank volume per hour, working alone.
It means that your friend's pump will empty the tank in 2 hours, working alone.
Solved.
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It is a typical joint work problem.
