document.write( "Question 953738: 3 pumps were used to empty a pond hold an unknown amount of water. If pump 1 can empty it in 4 days, pump 2 in 10 days and #3 in 5 days, how many days will it take to empty the pond if all 3 are running at the same time? \n" ); document.write( "
Algebra.Com's Answer #582488 by nerdybill(7384) You can put this solution on YOUR website! 3 pumps were used to empty a pond hold an unknown amount of water. If pump 1 can empty it in 4 days, pump 2 in 10 days and #3 in 5 days, how many days will it take to empty the pond if all 3 are running at the same time? \n" ); document.write( ". \n" ); document.write( "Let x = time (days) for all 3 \n" ); document.write( "then \n" ); document.write( "x(1/4 + 1/10 + 1/5) = 1 \n" ); document.write( "multiplying both sides by 20: \n" ); document.write( "x(5 + 2 + 4) = 20 \n" ); document.write( "x(11) = 20 \n" ); document.write( "x = 20/11 \n" ); document.write( "x = 1.82 days \n" ); document.write( "or \n" ); document.write( "x = 1 day, 19 hours and 38 minutes \n" ); document.write( " \n" ); document.write( " |