document.write( "Question 384186: Line A fills tank in 3 hours. Line B fills tank in 4 hours. Line C empties tank in 5 hours. With all lines open how long until tank is 3/5 full \n" ); document.write( "

Algebra.Com's Answer #271954 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi,         
\n" );
document.write( "Let x represent the time it would take to fill tank for all three working together.
\n" );
document.write( "Question states;  Per Hour the Equalizer:
\n" );
document.write( " 1/3 + 1/4 - 1/5 = 1/x  Multiplying each term by 60x so as all denominators = 1
\n" );
document.write( " 20x + 15x - 12x = 60
\n" );
document.write( "           23x = 60
\n" );
document.write( "             x = 60/23 hr \r
\n" );
document.write( "\n" );
document.write( "  With all lines open how long until tank is 3/5 full         
\n" );
document.write( "  3/5 * 60/23 = 36/23 = 1.57 hrs, tank will be  3/5 full  \n" );
document.write( "

\n" );