Question 1099582
Jim's rate of working is:
[ 1 job ] / [ 4 hrs ]
Susie's rate of working is:
[ 1 job ] / [ 3 hrs ]
Let {{{ t }}} = time in hrs for them
to do the job working together.
Add their rates of working to get
their rate working together
-------------------------
{{{ 1/4 + 1/3 = 1/t }}}
Multiply both sides by {{{ 12t }}}
{{{ 3t + 4t = 12 }}}
{{{ 7t = 12 }}}
{{{ t = 12/7 }}}
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[ hrs ] x [ dollars/hr ] = [ estimate in dollars ]
{{{ (12/7 )*55 = 94.29 }}}
$94.29 for labor