Question 891568
Add their rates of painting to get their rate
painting together
Charlie's rate:
( 1 house ) / ( 16 hours )
Let {{{ t }}} = time in hours for the partner
to painty the house
Partner's rate:
( 1 house ) / ( t hours )
------------------------
{{{ 1/16 + 1/t = 1/10 }}}
Multiply both sides by {{{ 80t }}}
{{{ 5t + 80 = 8t }}}
{{{ 3t = 80 }}}
{{{ t = 26.667 }}}
{{{ .667*60 = 40 }}}
The partner will take 26 hours and 40 minutes
working alone