Question 765124
12 workers completed work in 40 days
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10 times as many workers can do the work in 1/10 of that time, or
120 workers can complete work in 4 days
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1/4 that many workers will take 4 times as long to complete work, or
30 workers can complete work in 16 days
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You can also say that
( number of workers ) = k*( 1 / number of days to complete work )
( this is an inverse variation )
{{{ 12 = k*(1/40) }}}
{{{ k = 40*12 }}}
{{{ k = 480 }}}
Now let {{{ w }}} = number of workers
{{{ w = k*(1/16) }}}
{{{ w = 480*(1/16) }}}
{{{ w = 480*( 1/16 ) }}}
{{{ w = 30 }}}