document.write( "Question 1016652: 10 men working for 5 hours a day for 6 days mow an area of 5 acres. If there are 8 men working 4 hours a day to mow 4 acres of land, how many days will it take. \n" ); document.write( "
Algebra.Com's Answer #633057 by josmiceli(19441)\"\" \"About 
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The rate of working for the 1 man is:
\n" ); document.write( "[ acres ] / [ number of man*hrs ]
\n" ); document.write( "\"+5+%2F+%28+10%2A5%2A6+%29+=+1%2F60+\" acres/( man*hrs )
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\n" ); document.write( "The rate of working does not change, so:
\n" ); document.write( "\"+1%2F60+=+4+%2F+%28+8%2A4d+%29+\"
\n" ); document.write( "Multiply both sides by \"+60%2A32d+\"
\n" ); document.write( "\"+32d+=+240+\"
\n" ); document.write( "\"+d+=+7.5+\"
\n" ); document.write( "It will take the 8 men 7.5 days
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\n" ); document.write( "check:
\n" ); document.write( "1/5 as many men will mow 1/5 the acres in the same time, so
\n" ); document.write( "2 men working for 5 hours a day for 6 days mow an area of 1 acre
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\n" ); document.write( "4 times as many men will mow 4 times the acres in the same time, so
\n" ); document.write( "8 men working for 5 hours a day for 6 days mow an area of 4 acres
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\n" ); document.write( "5 hours a day for 6 days = 30 hrs
\n" ); document.write( "4 hours a day for 7.5 days = 30 hrs
\n" ); document.write( "OK
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