document.write( "Question 1052073: Andrew can paint the​ neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 6 days. How long would it take each to paint the​ house? \n" ); document.write( "
Algebra.Com's Answer #667488 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Andrew can paint the​ neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 6 days. How long would it take each to paint the​ house?
\n" ); document.write( "------
\n" ); document.write( "Andrew DATA:: time = 5x ; rate = 1/(5x)
\n" ); document.write( "Bailey DATA:: time = x ; rate = 1/x
\n" ); document.write( "Together DATA: time 6 ; rate = 1/6
\n" ); document.write( "----------------
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/(5x) + 1/x = 1/6
\n" ); document.write( "----------------------
\n" ); document.write( "6 + 30 = 5x
\n" ); document.write( "-----
\n" ); document.write( "5x = 36 days (Bailey time to do the job)
\n" ); document.write( "x = 7.2 days (Andrew's time to do the job)
\n" ); document.write( "------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-------------
\n" ); document.write( "
\n" );