Question 1026351
.
Justin the telephone operator worked five hours longer than Rosie another telephone operator. The product of the number of hours they work to 66 how many hours did Rosie work
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
<U>Answer</U>. 6 hours.


<U>Solution</U>


Let x = how many hours did Rosie work.

Then Justin worked (x+5) hours, and the condition says that 

x*(x+5) = 66.

Simplify and solve this equation:

{{{x^2 + 5x - 66}}} = {{{0}}}.

Factor the left side polynomial. You will get an equivalent equation

(x+11)*(x-5) = 0.

Its roots are -11 and 5. Only positive root satisfies the condition.
</pre>