document.write( "Question 927307: One pipe can empty a tank 3 times faster than another pipe. Starting with a full tank, both pipes take 6 hrs to empty the tank. How long does it take the faster pipe working alone to empty a full tank? \n" ); document.write( "
Algebra.Com's Answer #562874 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
One pipe can empty a tank 3 times faster than another pipe.
\n" ); document.write( "slower pipe:: time = 3x hrs ; rate = 1/(3x) job/hr
\n" ); document.write( "faster pipe:: time = x hrs ; rate = 1/x job/hr
\n" ); document.write( "---------------------
\n" ); document.write( "Starting with a full tank,if both pipes are turned on,it takes 6 hrs.to empty the ta/hrnk.
\n" ); document.write( "Together:: time = 6 hrs/job ; rate = 1/6 job
\n" ); document.write( "--------------------------------------------------
\n" ); document.write( "how long does it take the faster pipe working alone to empty a full tank?
\n" ); document.write( "Equation::
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/x + 1/(3x) = 1/6
\n" ); document.write( "6 + 2 = x
\n" ); document.write( "-----
\n" ); document.write( "x = 8 hrs (time for the faster pipe to do the job)
\n" ); document.write( "3x = 24 hrs (time for the slower pipe to do the job)
\n" ); document.write( "===============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "--------------
\n" ); document.write( "
\n" );