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)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( ": \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) \n" ); document.write( ": \n" ); document.write( "each will do a fraction of the filling, the two fractions add up to 1 \n" ); document.write( " \n" ); document.write( "reduce the 2nd fraction \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " |