Question 441815
Add the separate rate of painting
 houses/hour ( for you ) +  houses/hour ( for me ) =  houses / hour  ( together )
Let {{{t}}} = time to paint house working together
{{{ 1/4 + 1/6 = 1/t }}}
Multiply both sides by {{{12t}}}
{{{ 3t + 2t = 12 }}}
{{{ 5t = 12 }}}
{{{ t = 2.4 }}}
Note that {{{ .4 * 60 = 24 }}} minutes
It will take 2 hours and 24 minutes working together