document.write( "Question 203145: One pump can fill a tank twice as fast as a second pump. If the pumps are used together, they fill the tank in 16 minutes. How long would it take each pump working alone to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #153269 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! One pump can fill a tank twice as fast as a second pump. If the pumps are used together, they fill the tank in 16 minutes. How long would it take each pump working alone to fill the tank? \n" ); document.write( "------------------------- \n" ); document.write( "Faster pipe DATA: \n" ); document.write( "time = x min/job ; rate = 1/x job/min \n" ); document.write( "------------------------ \n" ); document.write( "Slower pipe DATA: \n" ); document.write( "time = 2x min/job ; rate = 1/(2x) job/min \n" ); document.write( "----------------------------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = 16 min/job ; rate = 1/16 job/min \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/x + 1/(2x) = 1/16 \n" ); document.write( "Multiply thru by 16x to get: \n" ); document.write( "16 + 8 = x \n" ); document.write( "x = 24 minutes (time for the faster pipe to do the job) \n" ); document.write( "2x = 48 minutes (time for the slower pipe to do the job) \n" ); document.write( "============================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |