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Question

A and B can do a Job together in 7 days. A is `1 3/4` times as efficient as B. The same job can be done by A alone in :


Options:
A .  `9 1/3`days
B .  11 days
C .  `12 1/4`days
D .  `16 1/3`days
Answer: Option B

(A's 1 day work )  :  (B's 1 days work )  = `7/4` : 1 =  7 : 4

Let A's and B's 1 day's work be 7`x` and 4`x` respectively.

Then , 7`x` + 4`x` =  `1/7     rArr     11x =  1/7     rArr  x =  1/77`

`:.`    A's 1 day's work =  `(1/77 xx 7) =  1/11`

Hence , A alone can finish the work in 11 days.




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