<PRE><B>Question 1016652</B>
The rate of working for the 1 man is:
[ acres ] / [ number of man*hrs ]
{{{ 5 / ( 10*5*6 ) = 1/60 }}} acres/( man*hrs )
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The rate of working does not change, so:
{{{ 1/60 = 4 / ( 8*4d ) }}}
Multiply both sides by {{{ 60*32d }}}
{{{ 32d = 240 }}}
{{{ d = 7.5 }}}
It will take the 8 men 7.5 days
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check:
1/5 as many men will mow 1/5 the acres in the same time, so
2 men working for 5 hours a day for 6 days mow an area of 1 acre
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4 times as many men will mow 4 times the acres in the same time, so
8 men working for 5 hours a day for 6 days mow an area of 4 acres
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5 hours a day for 6 days = 30 hrs
4 hours a day for 7.5 days = 30 hrs
OK</PRE>