document.write( "Question 116939: Good afternoon ma'am or sir Will you please help me in solving this problem:
\n" ); document.write( "1). Using pipe A, a pool, can be filled with water in 6 hours. Pipe bcan drain the pool in 12 hours. If both pipes were accidentally left open, how long would it take to fill the pool?
\n" ); document.write( " Thank you ma'am or sir for your generosity in solving my problem. \n" ); document.write( "

Algebra.Com's Answer #85008 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is a form of work problem- like when you know how long
\n" ); document.write( "it takes for person a to do a job and person b to do a job,
\n" ); document.write( "how long does it take when they work together?
\n" ); document.write( "For this problem,
\n" ); document.write( "(pipe A's rate of filling pool)+(pipe B's rate of filling pool)
\n" ); document.write( "= (rate of A and B together filling pool)
\n" ); document.write( "in other words,
\n" ); document.write( "(1 pool/6 hrs) + (1 pool/12 hrs) = (1 pool/x hrs)
\n" ); document.write( " $\"%281%2F6%29+%2B+%281%2F12%29+=+1%2Fx\"$
\n" ); document.write( "multiply both sides by $\"12x\"$
\n" ); document.write( " $\"2x+%2B+x+=+12\"$
\n" ); document.write( " $\"3x+=+12\"$
\n" ); document.write( " $\"x+=+4\"$ hrs answer
\n" ); document.write( "It takes 4 hrs to fill the pool when both pipes are left open
\n" ); document.write( "check answer
\n" ); document.write( " $\"%281%2F6%29+%2B+%281%2F12%29+=+1%2Fx\"$
\n" ); document.write( " $\"%281%2F6%29+%2B+%281%2F12%29+=+1%2F4\"$
\n" ); document.write( " $\"%282%2F12%29+%2B+%281%2F12%29+=+3%2F12\"$
\n" ); document.write( " $\"3%2F12+=+3%2F12\"$
\n" ); document.write( "OK \n" ); document.write( "

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