document.write( "Question 224168: Two water pipes can fill a tank with water in 6 hours. The larger pipe working alone can fill the tank in 9 hours. How long will it take the smaller pipe working alone to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #167467 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two water pipes can fill a tank with water in 6 hours. The larger pipe working alone can fill the tank in 9 hours. How long will it take the smaller pipe working alone to fill the tank? \n" ); document.write( "--------- \n" ); document.write( "Together DATA: \n" ); document.write( "time = 6 hrs/job ; rate = 1/6 job/hr \n" ); document.write( "-------------- \n" ); document.write( "Larger pipe DATA: \n" ); document.write( "time = 9 hrs/job ; rate = 1/9 job/hr \n" ); document.write( "-------------- \n" ); document.write( "Smaller pipe DATA: \n" ); document.write( "time = x hrs/job ; rate = 1/x job/hr \n" ); document.write( "--------------- \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/x + 1/9 = 1/6 \n" ); document.write( "Multiply thru by 54x to get: \n" ); document.write( "54 + 6x = 9x \n" ); document.write( "3x = 54 \n" ); document.write( "x = 18 hrs (time for the smaller pipe to do the job) \n" ); document.write( "====================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |