document.write( "Question 1073802: Dear...
\n" ); document.write( " A finishes a paint job in two hours less than B. C paints as quickly as A and B together. They need to paint a room. C is late. After an hour of painting, C shows up. All three together finish the job 3 and a half hours later, How long did take each painter to paint the room?
\n" ); document.write( "

Algebra.Com's Answer #688587 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "PAINTER       RATE\r\n" );
document.write( "\r\n" );
document.write( "A            \"1%2F%28x-2%29\"\r\n" );
document.write( "\r\n" );
document.write( "B            \"1%2Fx\"\r\n" );
document.write( "\r\n" );
document.write( "C            \"1%2F%28x-2%29%2B1%2Fx\"\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A and B paint for 1 hour;
\n" ); document.write( "A, B, and C paint for 3.5 hours, and the one whole job is finished.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A and B for 1 hour:
\n" ); document.write( "\"%281%2F%28x-2%29%2B1%2Fx%29%2A1\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A, B, and C for 3.5 hours:
\n" ); document.write( "\"%281%2F%28x-2%29%2B1%2Fx%29%2A%283.5%29%2B%281%2F%28x-2%29%2B1%2Fx%29%2A%283.5%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The SUM of those two expressions is 1
\n" ); document.write( "for ONE WHOLE PAINT JOB.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Set up the sum, solve for x, and then evaluate the time for each of A and C to do one job if alone. (or, their rates).
\n" ); document.write( "
\n" );