document.write( "Question 724060: Two inlet pipes can fill a water reservoir in 10 hours and 12 hours respectively when opened individually. If an outlet can empty the reservoir alone in 9 hours, how long will it take to fill the reservoir if all 3 pipes are opened simultaneously?\r
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Algebra.Com's Answer #443569 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Add their rates of filling and subtract the
\n" ); document.write( "rate of emptying to get the rate of filling
\n" ); document.write( "with all 3 pipes open.
\n" ); document.write( "( 1 reservoir filled ) / ( 10 hrs ) + ( 1 reservoir filled ) / ( 12 hrs ) - ( 1 reservoir emptied ) / ( 9 hrs )
\n" ); document.write( "= ( 1 reservoir filled / t hrs )
\n" ); document.write( "--------------------------
\n" ); document.write( "\"+1%2F10+%2B+1%2F12+-+1%2F9+=+1%2Ft+\"
\n" ); document.write( "I'll multiply both sides by \"+360t+\"
\n" ); document.write( "\"+36t+%2B+30t+-+40t+=+360+\"
\n" ); document.write( "\"+26t+=+360+\"
\n" ); document.write( "\"+t+=+13.846+\" hrs
\n" ); document.write( "\"+.846%2A60+=+50.8+\"
\n" ); document.write( "It will take 13 hrs and 51 min to fill the reservoir
\n" ); document.write( "That's it unless there's a math error
\n" ); document.write( "check:
\n" ); document.write( "\"+.1+%2B+.08333+-+.1111+=+1%2Ft+\"
\n" ); document.write( "\"+.0722223+=+1%2Ft+\"
\n" ); document.write( "\"+t+=+13.846+\"
\n" ); document.write( "OK\r
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