document.write( "Question 1144753: 16 workers can complete a piece of work in 30 days.After working for 10 days, 4 more workers joined. How many less days did the work take? \n" ); document.write( "
Algebra.Com's Answer #765933 by ikleyn(52772)\"\" \"About 
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\n" ); document.write( "16 workers can complete a piece of work in 30 days. After working for 10 days, 4 more workers joined.
\n" ); document.write( "How many \"highlight%28cross%28less%29%29\" fewer days did the work take?
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document.write( "(1)  Since 16 men can do the job in 30 days, their rate of work is  \"1%2F%2816%2A30%29\" part of job per 1 man per day.\r\n" );
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document.write( "(2)  After working for 10 hours, 16 men completed  \"10%2F30\" = \"1%2F3\"  of the job;\r\n" );
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document.write( "     hence,  1 - \"1%2F3\" = \"2%2F3\" remained to complete.\r\n" );
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document.write( "(3)  How many days will it take for 16+4 = 20 men to complete the remaining  {{2/3}}}  of the job ?\r\n" );
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document.write( "     Divide the remaining job by  \"20%2F%2816%2A30%29\" = \"1%2F24\".  You will get\r\n" );
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document.write( "          remaining time =  \"%28%282%2F3%29%29%2F%28%281%2F24%29%29\" = \"%282%2A24%29%2F3\" = 2*8 = 16 days.\r\n" );
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document.write( "ANSWER.  16 days after 4 men joined.  \r\n" );
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document.write( "         Or, which is the same, 4 days fewer, comparing with the original schedule.\r\n" );
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\n" ); document.write( "\n" ); document.write( "When I see such question  \"How many fewer days did the work take?\",  I always ask myself  \"how many fewer . . . comparing with  WHAT ?\".\r
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\n" ); document.write( "\n" ); document.write( "In this form,  \"How many fewer days did the work take?\",  the question is  UNCOMPLETED  (!)\r
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