SOLUTION: 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

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
Answer by ikleyn(52943) (Show Source): You can put this solution on YOUR website!
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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.

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