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Maricris can type a committee report in 5 hrs. Jane helped Maricris and together they finished the report in 3 hrs. How long would it take for Jane to finish the report if she had worked alone?


Sagot :

Answer:

It takes Jane 7.5 hours alone

Step-by-step explanation:

x hours = Jane's rate

5 hours = Maricris's rate

Maricris does 1/5 of the job in one hour and Jane does 1/x of the job in one hour.

(1/x)(3) + (1/5)(3) = 1

(3/x) + (3/5) = 1

Multiply both sides by 5x

15 + 3x = 5x

15 = 5x - 3x

15 = 2x

x = 7.5 hours is Jane's rate