document.write( "Question 1115357:
\n" ); document.write( "Andrew can paint the​ neighbor's house 4 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 9 days. how long would it take andrew?\r
\n" ); document.write( "\n" ); document.write( "How long would it take bailey?
\n" ); document.write( "

Algebra.Com's Answer #730264 by ikleyn(52814)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let  \"r\"  be the Bailey's rate of work.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then  Andrew's  rate of work  is 4r,  according to the condition.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the combined rate ow work is 5r,  and the problem says that\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    5r9 = 1   (they make the job in 9 days working together).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence,  r = \"1%2F45\",   which means that Bailey makes the job in 45 days.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It implies that Andrew makes the job in  \"45%2F4\" days.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------
\n" ); document.write( "It is a typical and standard joint work problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Using Fractions to solve word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Solving more complicated word problems on joint work \r
\n" ); document.write( "\n" ); document.write( "    - Selected joint-work word problems from the archive \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook under the topic
\n" ); document.write( "\"Rate of work and joint work problems\"  of the section  \"Word problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );