document.write( "Question 1121174: A and B working together can complete a job in 30 days. After they had both worked 18 days, however, A left and B finished the work in 20 more days. Find the time in which each can do the work alone. \n" ); document.write( "
Algebra.Com's Answer #736940 by ikleyn(52787)\"\" \"About 
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document.write( "After A and B worked 18 days together, they made \"18%2F30\" = \"3%2F5\" of the job;  so,  \"2%2F5\" of the job remained.\r\n" );
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document.write( "Then B completed this  \"2%2F5\" of the job in 20 days - so, his rate of work is  \"%28%282%2F5%29%29%2F20\" = \"2%2F100\" = \"1%2F50\" of the job per day.\r\n" );
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document.write( "Thus they both have the combined rate of work  \"1%2F30\"  of the job per day working together, and the B's individual rate of work is  \"1%2F50\". \r\n" );
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document.write( "Hence, the A's rate of work is  \"1%2F30\" - \"1%2F50\" = \"5%2F150\" - \"3%2F150\" = \"2%2F150\" = \"1%2F75\".\r\n" );
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document.write( "Answer.  A can do the job in 75 days working alone.\r\n" );
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document.write( "         B can do the job in 50 days working alone.\r\n" );
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