Faith and katie are working together to repair a fence. together they can fix it in 10 hours. alone faith takes 22 hours to complete, how long does it take katie

The time taken by Katie alone to repair the fence is 18.3 hours  

Step-by-step explanation:

Given as :

Faith and Katie are working together to repair a fence

The time taken by both to fix it = 10 hours

The time taken by Faith alone to fix it = 22 hours

Let The time taken by Katie alone to fix it = T hours

Now, According to question

The time taken by both to fix it = The time taken by Faith alone to fix it + The time taken by Katie alone to fix it

Or , = +

Or,   = -

Taking LCM

Or, =

Or, =

∴ T =

or, T =

I.e T = 18.3 hours

So,The time taken by Katie alone to fix it = T = 18.3 hours

Hence,The time taken by Katie alone to repair the fence is 18.3 hours  Answer

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step-by-step explanation:

25

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