document.write( "Question 730475: One pump can fill a water cistern twice as fast as a second pump. Working together, the two pumps can fill the cistern in 5 hours. Find how long it takes each pump to fill the cistern when working alone \n" ); document.write( "
Algebra.Com's Answer #446720 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! One pump can fill a water cistern twice as fast as a second pump. \n" ); document.write( " Working together, the two pumps can fill the cistern in 5 hours. \n" ); document.write( " Find how long it takes each pump to fill the cistern when working alone \n" ); document.write( ": \n" ); document.write( "Let t = time required by one pump alone \n" ); document.write( "then \n" ); document.write( "2t = time required by the other pump \n" ); document.write( ": \n" ); document.write( "Let the completed job = 1 (a full cistern) \n" ); document.write( ": \n" ); document.write( "A typical shared work equation \n" ); document.write( "Each will do a fraction of the work, the two fractions = 1 \n" ); document.write( " \n" ); document.write( "multiply by 2t, resulting in \n" ); document.write( "2(5) + 5 = 2t \n" ); document.write( "10 + 5 = 2t \n" ); document.write( "t = 15/2 \n" ); document.write( "t = 7.5 hrs for one pump \n" ); document.write( "you can find the time for the other pump \n" ); document.write( " |