document.write( "Question 1108519: A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days later the coworker joins in to help finish the job, how many days does it take to paint the building? \n" ); document.write( "

Algebra.Com's Answer #723511 by ikleyn(52795) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "The first painter makes  of the job per day; it is his rate of work.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In three days he did   =  of the job;  hence,   of the job remained.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The second painter makes  of the job per day; it is his rate of work.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, their combined rate of work is  +  =  +  =  =  of the job per day.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, it will take   =  =  =  of the day for the two painters to complete the painting.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "--------------
\n" ); document.write( "So, my answer coincides with that by @jomiceli.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==============
\n" ); document.write( "It is a typical 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" );