document.write( "Question 1184515: In working for 10 hours a day , 12 men can do a certain piece of work in 6 days.For how many hours a day must 20 men work in order to do the same amount of work in 14 days? \n" ); document.write( "

Algebra.Com's Answer #815130 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Given: 10 hours a day for 12 men working 6 days

\n" ); document.write( "(1) 20 men instead of 12
\n" ); document.write( "The number of men increases by a factor of 20/12=5/3
\n" ); document.write( "The number of hours per day decreases by a factor of 5/3 -- i.e., gets multiplied by a factor of 3/5

\n" ); document.write( "(2) 14 days instead of 6 days
\n" ); document.write( "The number of days increases by a factor of 14/6=7/3
\n" ); document.write( "The number of hours per day decreases by a factor of 7/3 -- i.e., gets multiplied by a factor of 3/7

\n" ); document.write( "Number of hours per day for 20 men working 14 days:
\n" ); document.write( " $\"10%283%2F5%29%283%2F7%29+=+90%2F35+=+18%2F7\"$

\n" ); document.write( "ANSWER: 18/7 hours, or 2 4/7 hours, per day for each man

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