document.write( "Question 1095920: two teams of construction workers had to renovate for 12 days. after 8 days during which the two teams worked together, the first team was assigned a different job. the second team continued to work for 7 more days until the renovation was complete. how long did will it take each team to renovate if they werent working together? \n" ); document.write( "
Algebra.Com's Answer #710433 by ikleyn(52847)\"\" \"About 
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document.write( "In 8 days that two teams worked together, they completed \"2%2F3\" of the job (since the entire job was scheduled for 12 days).\r\n" );
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document.write( "Thus only \"1%2F3\" of the job was remained, and it was done by the second team in 7 days.\r\n" );
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document.write( "Hence, it would take 3*7 = 21 days for the second team to renovate if the first team  does not participate.\r\n" );
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document.write( "Thus the combined rate of work of the two teams is \"1%2F12\" of the job per day,\r\n" );
document.write( "while the rate of work of the second team is \"1%2F21\" per day.\r\n" );
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document.write( "It implies that the rate of work of the first team is the difference \"1%2F12-1%2F21\" = \"21%2F%2812%2A21%29+-+12%2F%2812%2A21%29\" = \"9%2F%2812%2A21%29\" = \"1%2F%284%2A7%29\" = \"1%2F28\".\r\n" );
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document.write( "Hence, it would take 28 days for the first team to renovate if the second team  does not participate.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. 28 days for the first team and 21 days for the second team.\r
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\n" ); document.write( "\n" ); document.write( "Lesson to learn from this solution.\r
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document.write( "    You do not need solve any equations to get the answer.\r\n" );
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document.write( "    What you really need  is  a) to know what the rate of work is;\r\n" );
document.write( "                              b) to read the condition attentively, and\r\n" );
document.write( "                              c) to think 1 - 2 minutes before to start writing.\r\n" );
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\n" ); document.write( "It is a 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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\n" ); document.write( "And the last notice:\r
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\n" ); document.write( "\n" ); document.write( "        writing by @josgarithmetic is not adequate for this problem.\r
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\n" ); document.write( "\n" ); document.write( "        So,  for your safety,  it is better to ignore it.\r
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\n" ); document.write( "\n" ); document.write( "Actually,  this problem is for  5-6  grade students,  who didn't learn system of equations yet.\r
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