SOLUTION: a drain can empty a swimming pool in 16days. A second drain can empty the pool in 8 days in how much time will the 2 drains empty the pool working together?
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Question 677746: a drain can empty a swimming pool in 16days. A second drain can empty the pool in 8 days in how much time will the 2 drains empty the pool working together? Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x=number of days needed to empty the pool with both drains working together
Then both drains working together can empty at the rate of 1/x pool per day
First drain empties at the rate of 1/16 pool per day
Second drain empties at the rate of 1/8 pool per day
Sooooo
1/16+1/8=1/x multiply each term by 16x
x+2x=16
3x=16
x=5 1/3 days---time required to empty pool when both drains are working together
CK
In 5 1/3 or 16/3 days drain 1 empties (16/3)(1/16)=1/3 of the pool
In 16/3 days second drain empties (16/3)(1/8)=2/3 of the pool
Together in 16/3 days they empty 1/3 +2/3 =3/3 (and that's one pool:))
Hope this helps---ptaylor
