document.write( "Question 744182: Two taps A and B can fill a tank in 3 hours and 20 minutes. When tap A alone is open, it takes 2 hours more to fill the tank, than when B alone is open. Assuming uniform flow, bow long does it take for B alone to fill the tank? \n" ); document.write( "
Algebra.Com's Answer #453224 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! This is a job rate or task completion problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "tap A plus tap B, rate is \n" ); document.write( "tap B, rate? Let's use h for the hours to do the job. It's not the rate, but for now it will help. \n" ); document.write( "tap A, rate is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So then how do we express the rate for tap B? This rate is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice that I have been using rate as JOBS per HOUR, and not HOURS per JOB. Addition of rates for agents which work simultaneously is easier to manage this way. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "rate for tap A + rate for tap B = combined rate of tab A AND tap B; \n" ); document.write( " \n" ); document.write( "Solve for h.\r \n" ); document.write( "\n" ); document.write( "THAT is the time for tap B to fill the tank if tap B works alone. \n" ); document.write( " |