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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
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Answer. 6 hours.
Solution
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:
= 
.
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.
