document.write( "Question 1206760: A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. The number of men originally employed were: \n" ); document.write( "

Algebra.Com's Answer #844387 by ikleyn(52910) $\"\"$ $\"About$

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\n" ); document.write( "A contractor undertook to do a certain piece of work in 9 days. He employed certain number of men,
\n" ); document.write( "but 6 of them being absent from the very first day, the rest could finish the work in 15 days.
\n" ); document.write( "The number of men originally employed were:
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document.write( "x originally employed men;\r\n" );
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document.write( "So, the entire job was 9x men-days, as planned originally.\r\n" );
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document.write( "But it was done by (x-6) men in 15 days; hence\r\n" );
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document.write( "    15*(x-6) = 9x.\r\n" );
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document.write( "From it,  \r\n" );
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document.write( "    15x - 90 = 9x,\r\n" );
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document.write( "    15x - 9x = 90\r\n" );
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document.write( "       6x    = 90\r\n" );
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document.write( "        x    = 90/6 = 15.\r\n" );
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document.write( "ANSWER.  15 men were employed initially;  but only 15-6 = 9 of them really worked.\r\n" );
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