document.write( "Question 927307: One pipe can empty a tank 3 times faster than another pipe. Starting with a full tank, both pipes take 6 hrs to empty the tank. How long does it take the faster pipe working alone to empty a full tank? \n" ); document.write( "
Algebra.Com's Answer #562876 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+R+\" = the rate of emptying of
\n" ); document.write( "the slowest pipe in tankfuls / hrs
\n" ); document.write( "\"+3R+\" = the rate of emptying of
\n" ); document.write( "the other pipe in tankfuls / hrs
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\n" ); document.write( "Add the rates of emptying to get
\n" ); document.write( "their rate emptying together
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\n" ); document.write( "\"+1%2F6+\" = rate of emptying together
\n" ); document.write( "in tankfuls / hrs
\n" ); document.write( "\"+R+%2B+3R+=+1%2F6+\"
\n" ); document.write( "\"+4R+=+1%2F6+\"
\n" ); document.write( "\"+R+=+1%2F24+\"
\n" ); document.write( "\"+3R+=+1%2F8+\"
\n" ); document.write( "The faster tank takes 8 hrs to empty
\n" ); document.write( "the tank alone
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\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F24+%2B+1%2F8+=+1%2F6+\"
\n" ); document.write( "\"+1%2F24+%2B+3%2F24+=+4%2F24+\"
\n" ); document.write( "OK
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\n" ); document.write( "Note that if there were both emptying and
\n" ); document.write( "filling pipes, then the emptying rates
\n" ); document.write( "would have minus signs and the filling
\n" ); document.write( "rates would have plus signs\r
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