document.write( "Question 310469: Two pumps operating together can fill a cistern in 4 hours. If one of the pumps working alone can fill the cistern in 6 hours, how long would it take the other pump working alone? \n" ); document.write( "
Algebra.Com's Answer #221967 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let filling the cistern be = 1 job.\r \n" ); document.write( "\n" ); document.write( "Both pumps can do the job in 4 hours. \n" ); document.write( "So they can do 1/4 of the job in 1 hour. \n" ); document.write( ". \n" ); document.write( "one pump does the job in 6 hours . \n" ); document.write( "So it does 1/6th. of the job in 1 hour. \n" ); document.write( ". \n" ); document.write( "Job done by both - job done by one of them = job done by the other in 1 hour. \n" ); document.write( ". \n" ); document.write( "1/4 - 1/6 \n" ); document.write( "=3-2 / 12 \n" ); document.write( "=1/12. \n" ); document.write( "The other pump does 1/12th job in 1 hour. \n" ); document.write( ". \n" ); document.write( "So it takes 12 hours to do the complete job of filing the cistern alone. \n" ); document.write( " |