Question 974182
June's rate of working:
[ 1 quilt ] / [ 16 days ]
Molly's rate:
[ 1 quilt ] / [ 12 days ]
Maria's rate:
[ 1 quilt ] / [ 14 days ]
-----------------------
Let {{{ t }}} = time in days for them
to complete the quilt working
together
-----------
Add their rates of working to get rate 
working together
----------------
{{{ 1/16 + 1/12 + 1/14 = 1/t }}}
Multiply both siodes by {{{ 2 }}}
{{{ 1/8 + 1/6 + 1/7 = 2/t }}}
Multiply both sides by {{{ 168t }}}
{{{ 21t + 28t + 24t = 336 }}}
{{{ 73t = 336 }}}
{{{ t = 4.6027 }}} days
---------------------
Strange number for answer -check my math