document.write( "Question 755004: A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool. Together, taps A and B take 2 hours to fill the pool. How many hours does it take each tap to fill the swimming pools seperately? \n" ); document.write( "
Algebra.Com's Answer #459486 by josmiceli(19441)\"\" \"About 
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Add their separate rates to get their rate filling together
\n" ); document.write( "B's rate of filling:
\n" ); document.write( "( 1 pool filled ) / ( t hrs )
\n" ); document.write( "A's rate of filling:
\n" ); document.write( "( 1 pool filled ) / ( t - 3 hrs )
\n" ); document.write( "A and B together:
\n" ); document.write( "( 1 pool filled ) / ( 2 hrs )
\n" ); document.write( "------------------------
\n" ); document.write( "\"+1%2F%28+t+-+3+%29+%2B+1%2Ft+=+1%2F2+\"
\n" ); document.write( "Multiply both sides by \"+t%2A%28+t-3+%29%2A2+\"
\n" ); document.write( "\"+2t+%2B+2%2A%28+t-3+%29+=+t%2A%28+t-3+%29+\"
\n" ); document.write( "\"+2t+%2B+2t+-+6+=+t%5E2+-+3t+\"
\n" ); document.write( "\"+4t+-+6+=+t%5E2+-+3t+\"
\n" ); document.write( "\"+t%5E2+-+7t+%2B+6+=+0+\"
\n" ); document.write( "\"+%28+t+-+6+%29%2A%28+t+-+1+%29+=+0+\" ( by inspection )
\n" ); document.write( "\"+t+=+6+\" ( note that \"+t=1+\" doesn't work )
\n" ); document.write( "\"+t+-+3+=+3+\"
\n" ); document.write( "-------------
\n" ); document.write( "A takes 3 hrs to fill the pool alone
\n" ); document.write( "B takes 6 hrs to fill the pool alone
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F%28+t+-+3+%29+%2B+1%2Ft+=+1%2F2+\"
\n" ); document.write( "\"+1%2F3+%2B+1%2F6+=+1%2F2+\"
\n" ); document.write( "\"+2%2F6+%2B+1%2F6+=+3%2F6+\"
\n" ); document.write( "\"+3%2F6+=+3%2F6+\"
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );