document.write( "Question 670903: A faucet can fill a sink in 5 minutes while a drain will empty the same sink in 8 minutes. If the faucet is turned on and the drain is left open, how long will it take to fill the sink? \n" ); document.write( "
Algebra.Com's Answer #417195 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A faucet can fill a sink in 5 minutes while a drain will empty the same sink in 8 minutes. If the faucet is turned on and the drain is left open, how long will it take to fill the sink? \n" ); document.write( "------ \n" ); document.write( "faucet rate = 1/5 job/min \n" ); document.write( "drain rate = 1/8 job/min \n" ); document.write( "together rate = 1/x job/min \n" ); document.write( "------- \n" ); document.write( "Equation: \n" ); document.write( "faucet rate - drain rate = 1/x \n" ); document.write( "1/5 - 1/8 = 1/x \n" ); document.write( "--- \n" ); document.write( "8x - 5x = 40 \n" ); document.write( "3x = 40 \n" ); document.write( "x = 13 1/3 minutes (time to fill the sink) \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |