document.write( "Question 206409: Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #156110 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two pumps are used to fill a water storage tank at a resort. One pump can fill the tank by itself in 9 hours, and the other can fill it in 6 hours. How long will it take both pumps operating together to fill the tank? \n" ); document.write( "------------------------------------------------------------------- \n" ); document.write( "1st pump DATA: \n" ); document.write( "time = 9 hr/job ; rate = (1/9) job/hr \n" ); document.write( "----------------------------------------- \n" ); document.write( "2nd pump DATA: \n" ); document.write( "time = 6 hr/job ; rate = 1/6 job/hr \n" ); document.write( "------------------------------------------ \n" ); document.write( "Together DATA: \n" ); document.write( "time = x hr/job ; rate = 1/x job/hr \n" ); document.write( "------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "(1/9) + (1/6) = 1/x \n" ); document.write( "2x + 3x = 18 \n" ); document.write( "5x = 18 \n" ); document.write( "x = 18/5 = 3.6 hrs (time required when both pumps are operating) \n" ); document.write( "====================================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |