document.write( "Question 1143847: Hi\r
\n" ); document.write( "\n" ); document.write( "one team of workers completes a job in 10 days, while another team completes it in 8 days. The first team worked alone for 1 day. Then the second team joined and finished the job in N days. What is the value of N.\r
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Algebra.Com's Answer #764771 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "One team of workers can complete the job in 10 days -- hence, the rate of work of this team is  \"1%2F10\"  of the job per day.\r\n" );
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document.write( "The other team of workers can complete the job in 8 days -- hence, the rate of work of the other team is  \"1%2F8\"  of the job per day.\r\n" );
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document.write( "The combined rate of work of two teams working together is  \"1%2F10+%2B+1%2F8\" = \"4%2F40+%2B+5%2F40\" = \"9%2F40\" of the job per day.\r\n" );
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document.write( "After working first day, the first team completed  \"1%2F10\"  of the job -- hence,  \"9%2F10\"  of the job remained to do.\r\n" );
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document.write( "Working at the combined rate  \"9%2F40\"  of the job per day, the two team need  \"%28%289%2F10%29%29%2F%28%289%2F40%29%29\" = \"40%2F10\" = 4 days to complete the job.\r\n" );
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document.write( "Thus \"N\", the number of days under the question is 4:  N= 4.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical joint work problem.\r
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\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
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\n" ); document.write( "\n" ); document.write( "Read them and get be trained in solving joint-work problems.\r
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\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
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\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
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\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
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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