document.write( "Question 581047: One pump fills a tank 3 time as fast as another. Working together, they fill the tank in 6 minutes. How long does it take for each pump to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #371419 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One pump fills a tank 3 time as fast as another. Working together, they fill the tank in 6 minutes. How long does it take for each pump to fill the tank? \n" ); document.write( "-------------------------- \n" ); document.write( "Slower pump DATA: \n" ); document.write( "time = 3x minutes/job ; rate = 1/(3x) job/min \n" ); document.write( "------------- \n" ); document.write( "Faster pump DATA: \n" ); document.write( "time = x min/job ; rate = 1/x job/min \n" ); document.write( "------------------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = 6 min/job ; rate = 1/6 job/min \n" ); document.write( "======================================= \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/(3x) + 1/x = 1/6 \n" ); document.write( "--------- \n" ); document.write( "Multiply thru by 6x: \n" ); document.write( "2 + 6 = x \n" ); document.write( "x = 8 minutes (time for the faster pump) \n" ); document.write( "3x = 24 minutes (time for the slower pump) \n" ); document.write( "============================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |