document.write( "Question 1098982: A and B are two taps require to fill one tank in 15 hour.these two taps are kept open for 12 hours then tap B is closed then tank required more 8 hours to fill then find the time that tap require to fill the tank seperately \n" ); document.write( "
Algebra.Com's Answer #713402 by josmiceli(19441)\"\" \"About 
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Let \"+R%5Ba%5D+\" = the rate of filling of A tap
\n" ); document.write( "in [ tanks ] / [ hr ]
\n" ); document.write( "Let \"+R%5Bb%5D+\" = the rate of filling of B tap
\n" ); document.write( "in [ tanks] / [ hr ]
\n" ); document.write( "----------------------------------------
\n" ); document.write( "(1) \"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F15+\"
\n" ); document.write( "\"+12%2F15+=+4%2F5+\" of the tank is filled in 12 hrs
\n" ); document.write( "with both taps open. \"+1%2F5+\" of the tank is
\n" ); document.write( "left to be filled. Tap B is closed
\n" ); document.write( "(2) \"+R%5Ba%5D+=+%28+1%2F5+%29%2F8+\"
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(2) \"+R%7Ba%7D+=+1%2F40+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+1%2F40+%2B+R%5Bb%5D+=+1%2F15+\"
\n" ); document.write( "multiply both sides by \"+15%2A40+\"
\n" ); document.write( "(1) \"+15+%2B+600R%5Bb%5D+=+40+\"
\n" ); document.write( "(1) \"+600R%5Bb%5D+=+25+\"
\n" ); document.write( "(1) \"+R%5Bb%5D+=+1%2F24+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Tap A takes 40 hrs to fill tank by itself
\n" ); document.write( "Tap B takes 24 hrs to fill tank by itself
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+R%5Ba%5D+%2B+R%5Bb%5D+=+1%2F15+\"
\n" ); document.write( "(1) \"+1%2F40+%2B+1%2F24+=+1%2F15+\"
\n" ); document.write( "Multiply both sides by \"+40%2A15+\"
\n" ); document.write( "(1) \"+15+%2B+25+=+40+\"
\n" ); document.write( "(1) \"+40+=+40+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );