document.write( "Question 953413: Two pipes P and Q fill an empty cistern in 24 minutes & 32 minutes respectively. Both the pipes being opened together. Find when the first pipe must be turned off so that the empty cistern may be just filled in 16 minutes. \n" ); document.write( "
Algebra.Com's Answer #582244 by ankor@dixie-net.com(22740)\"\" \"About 
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Two pipes P and Q fill an empty cistern in 24 minutes & 32 minutes respectively.
\n" ); document.write( " Both the pipes being opened together.
\n" ); document.write( " Find when the first pipe must be turned off so that the empty cistern may be just filled in 16 minutes.
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\n" ); document.write( "let t = on time of the 1st pipe to accomplish this
\n" ); document.write( "let the completed job = 1 (a full cistern)
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\n" ); document.write( "each will do a fraction of the filling, the two fractions add up to 1
\n" ); document.write( "\"t%2F24\" + \"16%2F32\" = 1
\n" ); document.write( "reduce the 2nd fraction
\n" ); document.write( "\"t%2F24\" + \"1%2F2\" = 1
\n" ); document.write( "multiply equation by 24, cancel the denominators
\n" ); document.write( "t + 12 = 24
\n" ); document.write( "t = 24 - 12
\n" ); document.write( "t = 12 min, then turn the 1st pipe off
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