Question 527381
Let {{{h}}} = hours for other man to do work alone
Add their rates of working to get their
rate working together
1st man does ( 1 job ) / ( 14 hrs )
2nd man does ( 1 job ) / ( h hrs )
working together they do ( 1 job ) / ( 8 hrs )
------------------------------
{{{ 1/14 + 1/h = 1/8 }}}
Multiply both sides by {{{ 56h }}}
{{{ 4h + 56 = 7h }}}
{{{ 3h = 56 }}}
{{{ h = 18.667 }}}
It will take the other man 18 and 2/3 hours
working alone, which is 18 hrs and 40 min