SOLUTION: 23. A pool can be filled with water by a large pipe within 6 hours. A smaller pipe will take 9 hours to fill the pool. How long will it take if the two pipes operate together

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Question 389585: 23. A pool can be filled with water by a large pipe within 6 hours. A smaller pipe will take 9 hours to fill the pool. How long will it take if the two pipes operate together
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Let x represent the time together
Questions States*** Per hour being the equalizer...
1/6 + 1/9 = 1/x Multiplying each term by 36x so as all denominators = 1
6x + 4x = 36
10x = 36
x = 3.6hrs
CHECKING our Answer***
6/36 + 4/36 = 10/36 = 1/ 36/10