Question 979136
John's rate of working is:
[ 1 job ] / [ 8 days ]
Peter's rate of working:
[ 1 job ] / [ 6 days ]
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Add their rates of working to 
get their rate working together
Let {{{ x }}} = the fraction of the 
job they finish working together
for 2 days
{{{ 1/8 + 1/6 = x/2 }}}
Multiply both sidfes by {{{ 24 }}}
{{{ 3 + 4 = 12x }}}
{{{ 12x = 7 }}}
{{{ x = 7/12 }}}
That means there is {{{ 12/12 - 7/12 = 5/12 }}}
of the job remaining
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Let {{{ t }}} = time in days for John to
finish the job by himself
{{{ 1/8 = ( 5/12 )/t }}}
{{{ 1/8 = 5/((12t)) }}}
Multiply both sides by {{{ 24t }}}
{{{ 3t = 10 }}}
{{{ t = 10/3 }}}
John can finish the job in 3 and 1/3 days working alone
Hope I got it