Question 1022901
<pre>
PERSON                 RATES in JOBS/HOUR

blueberry                 {{{1/10}}}

cheesecake                {{{1/12}}}

blueberry&cheesecake     {{{1/10+1/12=22/120=11/60}}}

duhat                     {{{1/x}}}
</pre>


Work rates rule, RT=J relates rate, time, and amount of job or jobs.


The ONE job was split into two time parts, in 1 hour and 3 hour parts.  Only one variable is unknown when the data formed into an equation.


{{{highlight((11/60)*1+(11/60+1/x)*3=1)}}}-----not the answer; but the equation which will contain the answer, once solved for x.



ALGEBRAIC SOLVING STEPS
{{{60x(11/60)+60x(11/60+1/x)*3=60x}}}
{{{11x+33x+60*3=60x}}}
{{{44x+180=60x}}}
{{{180=16x}}}
{{{45=4x}}}
{{{x=45/4}}}
{{{highlight(x=11&1/4)}}}------hours for duhat to do one job alone.*



* Mistake fixed.