SOLUTION: If two water pipes can fill a swimming pool in 18 hours when both are open. One of the pipes can fill the pool alone in 45 hours , how long would it take the other pipe to fill the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If two water pipes can fill a swimming pool in 18 hours when both are open. One of the pipes can fill the pool alone in 45 hours , how long would it take the other pipe to fill the      Log On


   



Question 852930: If two water pipes can fill a swimming pool in 18 hours when both are open. One of the pipes can fill the pool alone in 45 hours , how long would it take the other pipe to fill the pool alone?
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
If two water pipes can fill a swimming pool in 18 hours when both are open. One of the pipes can fill the pool alone in 45 hours , how long would it take the other pipe to fill the pool alone?
Ans:
Pipe A fills 1/45 of the pool per hour.
Let pipe B take x hours to fill the pool. So in one hour, it fills 1/x of the pool.
So in one hour, they together fill 1/x + 1/45 = %28x+%2B+45%29%2F%2845%2Ax%29 of the pool.
In 18 hours, they fill 100% of the pool. So the  equation is:
18%2A%28x+%2B+45%29%2F%2845%2Ax%29+=+1
or
18%2A%28x+%2B+45%29+=+45%2Ax
or
810+=+27%2Ax or x+=+30

So the pipe B would take 30 hours to fill the pool by itself.

Hope this helps.