document.write( "Question 1081944: 80 men can finish the job in 60 days. At the 16th day, 5 men were laid off and at the 45th day, 10 men were hired. How many days were they delayed finishing the job. \n" ); document.write( "
Algebra.Com's Answer #853795 by MathTherapy(10719)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "80 men can finish the job in 60 days. At the 16th day, 5 men were laid off and at the 45th day, 10 men were hired.\r\n" );
document.write( "How many days were they delayed finishing the job.\r\n" );
document.write( "**************************************************\r\n" );
document.write( "7+-day delay, from the other person is WRONG!!\r\n" );
document.write( "\r\n" );
document.write( "80-MAN rate: \"1%2F60\"\r\n" );
document.write( "1-MAN rate: \"1%2F%2880%29%2860%29+=+1%2F%224%2C800%22\"\r\n" );
document.write( "75-MAN rate: \"75%281%2F%224%2C800%22%29+=+1%2F64\"\r\n" );
document.write( "85-MAN rate: \"85%281%2F%224%2C800%22%29+=+17%2F960\"\r\n" );
document.write( "\r\n" );
document.write( "Number of days the full crew (80 men) worked: 15 (day 1 to day 15)\r\n" );
document.write( "Number of days 5 less, or 75 (80 - 5) men worked: 29 (day 16 to day 44)\r\n" );
document.write( "Number of days 10 more, or 85 (75 + 10) men worked: Unknown, or T\r\n" );
document.write( "\r\n" );
document.write( "We then get: T1(rate) + T2(rate) + T3(rate) = 1\r\n" );
document.write( "                  \"15%281%2F60%29+%2B+29%281%2F64%29+%2B+T%2817%2F960%29+=+1\"\r\n" );
document.write( "                                 \"1%2F4+%2B+29%2F64+%2B+17T%2F960+=+1\"\r\n" );
document.write( "                      1(240) + 29(15) + 17T = 960 -- Multiplying by LCD, 960\r\n" );
document.write( "                            240 + 435 + 17T = 960\r\n" );
document.write( "                                  675 + 17T = 960\r\n" );
document.write( "                                        17T = 960 - 675 \r\n" );
document.write( "                                        17T = 285\r\n" );
document.write( "Time taken by the final 85-man crew, to complete remaining fraction of job, or T = \"285%2F17\" = \"16%2613%2F17\", or about 17 days \r\n" );
document.write( "\r\n" );
document.write( "So, entire job took 15 + 29 + 17 = 61 days, which was 1 day over the 60-day deadline.
\n" ); document.write( "
\n" );