document.write( "Question 571472: A swimming pool can be filled up by pipes A and B in 3 hours and 35 minuted. If pipe A can fill the pool in 6 1/2 hours, how long can pipe B fill it alone? \n" ); document.write( "
Algebra.Com's Answer #368126 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A swimming pool can be filled up by pipes A and B in 3 hours and 35 minutes. \n" ); document.write( " If pipe A can fill the pool in 6 1/2 hours, how long can pipe B fill it alone? \n" ); document.write( ": \n" ); document.write( "We can do this in minutes, avoid those annoying fractions, then convert the answer back to hrs and min. \n" ); document.write( "3(60) + 35 = 215 min \n" ); document.write( "6(60) + 30 = 390 min \n" ); document.write( ": \n" ); document.write( "Let B = time for pipe B to fill it alone \n" ); document.write( "Let the completed job = 1; (a full pool) \n" ); document.write( ": \n" ); document.write( "A typical shared work equation \n" ); document.write( " \n" ); document.write( "multiply by 390B \n" ); document.write( "390B* \n" ); document.write( "cancel the denominators and you have \n" ); document.write( "215B + 390(215) = 390B \n" ); document.write( "83850 = 390B - 215B \n" ); document.write( "83850 = 175B \n" ); document.write( "B = \n" ); document.write( "B = 479.143 minutes \n" ); document.write( ": \n" ); document.write( "Convert to hrs and min, divide by 60; mult the decimal portion times 60 \n" ); document.write( "7 + .986(60) = 7 hrs 59 minutes for B to the job \n" ); document.write( " \n" ); document.write( " |