Question 1192759
<pre>
PERSON        RATE                TIME QUANTITY

Tom           {{{1/5}}}                   1

Huck          {{{1/6}}}               

combined      {{{1/5+1/6}}}             {{{cross(x+1)}}} x
</pre>
The amount of work was 1 fence.


{{{cross((1/5)*1+(1/5+1/6)(x+1)=1)}}}
{{{(1/5)*1+(1/5+1/6)*x=1}}}

LCD is 5*6=30, so multiplying both sides by 30 can clear the denominators.

{{{6+(6+5)x=30}}}
{{{6+11x=30}}}
{{{11x=24}}}

{{{highlight(x=24/11=2&2/11)}}}
about 2 hours 11 minutes----------you can figure out "what time" from this value.