document.write( "Question 729572: A company contracts to paint 3 houses. Mr.Orange can paint a house in 6 days while Mr.Grey would take 8 days and Mr.Red 12 days. After 8 days Mr.Orange goes on vacation and Mr.Grey begins to work for a period of 6 days. How many days will it take Mr.Red to complete the contract? \n" ); document.write( "
Algebra.Com's Answer #853138 by ikleyn(53419)\"\" \"About 
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\n" ); document.write( "A company contracts to paint 3 houses. Mr.Orange can paint a house in 6 days while Mr.Grey would take 8 days
\n" ); document.write( "and Mr.Red 12 days. After 8 days Mr.Orange goes on vacation and Mr.Grey begins to work for a period of 6 days.
\n" ); document.write( "How many days will it take Mr.Red to complete the contract?
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document.write( "The whole job is to paint 3 houses.\r\n" );
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document.write( "Mr. Orange' rate of work is  \"1%2F6\"  of the house per day.\r\n" );
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document.write( "Working 8 days, Mr Orange painted  \"8%2F6\" = \"4%2F3\"  houses, and  3 - \"4%2F3\" = \"5%2F3\" houses remained\r\n" );
document.write( "to paint.\r\n" );
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document.write( "Mr. Gray' rate of work is  \"1%2F8\"  of the house per day.\r\n" );
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document.write( "Working 6 days, Mr. Gray painted  \"6%2F8\" = \"3%2F4\"  of a house, and  \r\n" );
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document.write( "   \"5%2F3\" - \"3%2F4\" = \"20%2F12\" - \"9%2F12\" = \"11%2F12\" of a  house remained to paint.\r\n" );
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document.write( "Mr. Red' rate of work is  \"1%2F12\"  of the house per day.\r\n" );
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document.write( "Hence, he needs \r\n" );
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document.write( "    \"%28%2811%2F12%29%29%2F%28%281%2F12%29%29\" = 11 days to complete the contract.\r\n" );
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document.write( "ANSWER.  Mr. Red needs 11 days to complete the job.\r\n" );
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