Question 1054857
<pre>

                   RATES, {{{JOB/HOUR}}}

WORKER               {{{1/(x+1)}}}

FASTER WORKER        {{{1/x}}}

BOTH TOGETHER         {{{1/2}}}
</pre>

Some care in reading is necessary to figure which is the rate for the fast worker and how to manage the given numeric description.  The faster worker is he who can do the job in ONE HOUR LESS TIME than the "other person".


Rate of both working together become sum of the individual rates.
{{{1/(x+1)+1/x=1/2}}}
Multiply both sides by {{{2x(x+1)}}}, which is the simplest or lowest common denominator, and simplify before solving for x.