document.write( "Question 435757: Rob takes 5 hours longer than Jen to paint a room. If they work together, they can paint a room in 6 hours. How long does it take Rob to paint a room by himself? \n" ); document.write( "

Algebra.Com's Answer #301599 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( "Rob takes 5 hours longer than Jen to paint a room.
\n" );
document.write( "Let x and (x+5) represent Jen and Rob's times solo
\n" );
document.write( "Question states*** Per hour the Equalizer
\n" );
document.write( " 1/x + 1/(x+5) = 1/6   |multiplying thru by 6x(x+5) so as alll denominaotrs=1
\n" );
document.write( " 6(x+5) + 6x = x^2 + 5
\n" );
document.write( "  x^2 -7x-30 = 0
\n" );
document.write( "factoring
\n" );
document.write( "(x+3)(x-10)= 0
\n" );
document.write( "(x+3)= 0  |Tossing out negative solution for time
\n" );
document.write( "(x-10)= 0   x = 10hr, jen's time.  Rob's time is 15hr.   (10hr + 5hr)\r
\n" );
document.write( "\n" );
document.write( "CHECKING our Answer***
\n" );
document.write( "  1/10 + 1/15 =  3/30 + 2/30 = 5/30 = 1/6 \n" );
document.write( "

\n" );