document.write( "Question 937613: A tank can be filled by one pipe in 12 hours, by a second pipe in 7 hours, and by a third pipe in 4 hours. If all three pipes are open, how long will it take to fill the tank. \n" ); document.write( "
Algebra.Com's Answer #571001 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A tank can be filled by one pipe in 12 hours, by a second pipe in 7 hours, and by a third pipe in 4 hours. If all three pipes are open, how long will it take to fill the tank. \n" ); document.write( ". \n" ); document.write( "Let t = time (hours) it takes to fill tank \n" ); document.write( "then \n" ); document.write( "t(1/12 + 1/7 + 1/4) = 1 \n" ); document.write( "multiply both sides by 84: \n" ); document.write( "t(7 + 12 + 21) = 84 \n" ); document.write( "t(40) = 84 \n" ); document.write( "t = 2.1 hours \n" ); document.write( "or \n" ); document.write( "t = 2 hours and 6 minutes \n" ); document.write( " |