document.write( "Question 30847: Please help me with this problem. I think it needs to be set up as a linear equation. Also, it would help if you could explain it step by step for me. Thanks so much! ** An empty swimming pool can be filled in 10 hours. When full, the pool can be drained in 16 hours. How long will it take to fill the pool if the drain is left open? \n" ); document.write( "
Algebra.Com's Answer #17589 by Nate(3500)\"\" \"About 
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work is the product of the rate and time
\n" ); document.write( "RATE:
\n" ); document.write( "the pipe can fill the pool in 10 hours *has to be in fraction, so it is a ratio of 1/10*
\n" ); document.write( "the drainer can drain the pool in 16 hours *has to be in fraction, so it is a ratio of -1/16*
\n" ); document.write( "TIME:we have to find the time; let us define time as 't'
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\n" ); document.write( "RATE*TIME=WORK
\n" ); document.write( "pipe = t/10
\n" ); document.write( "drainer = -t/16
\n" ); document.write( "----------------------------------------------------------------------------
\n" ); document.write( "it takes one job, so:
\n" ); document.write( "t/10 - t/16 = 1
\n" ); document.write( "(t/10 - t/16 = 1)80 multiply by lowest common multiple
\n" ); document.write( "8t - 5t = 80
\n" ); document.write( "3t = 80
\n" ); document.write( "t = 80/3
\n" ); document.write( "t = 26 and 2/3 hours to fill the pool\r
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