ILL GIVE BRAINLIEST
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Answer:
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
<u>Now, According to question</u>
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