A takes 5 days to finish 1 "work" and "B" takes 10 days to finish 1 "work" . How many days taken by both to complete the work?
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Let B alone finish the work =xdays.
And Alone finish the work =(x−10)days
A' s one day work =x−101
B's one day work =x1
As it given tha
(A+B) can finish work in 12 days
∴(A+B)onedaywork=121
⇒A′sonedaywork+B′sonedaywork=121
⇒x−101+x1=121
⇒x(x−10)x+x−10=121
⇒x(x−10)2x−10=121
⇒12(2x−10)=x(x−10)
⇒24x−120=x2−10x
⇒x
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