John and alicia are asked to clean the barn. john can clean the barn by himself in 3 hours and together they can clean the barn in 1 7/8 hours. how long would it take alicia to clean the barn by herself?

Alicia will take 5 hours to clean the barn.

Step-by-step explanation:

John and Alicia are asked to clean the barn.

John can clean the barn alone in 3 hours.

So work done in one hour =

Let Alicia takes x hours to clean the barn alone so work done in one hour by Alicia =

Now it is given in the question that together they can clean the barn in hour or hours.

So work done together in one hour =

Now we know work done in one hour by John + work done in one hour by Alicia = work done in one hour by both.

15(3+x) = 8 (3x) [By cross multiplication]

45 + 15x = 24x - 15x

45 = 9x

x = = 5

Therefore, Alicia will take 5 hours to clean the barn by herself.

isi

step-by-step explanation:

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