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A, B, and C together can complete a piece of work in 12 3/5 days, while A and C together can finish it in 14 days. Find in how many days B alone can c
Question



A, B, and C together can complete a piece of work in 12 3/5 days, while A and C together can finish it in 14 days. Find in how many days B alone can complete 66.67% of the same work.

A.

90 days

B.

84 days

C.

73 days

D.

79 days

E.

None of these

Correct option is B


Information Given:
A, B, and C together can complete a piece of work in 12 3/5 days,
A and C together can finish it in 14 days
Basic Explanation:
Let total work (LCM of 63/5 & 14) = 126 units
The efficiency of A, B and C together = 126/(63/5)=10 units/day
The efficiency of A and C together = 126/14=9 units/day
The efficiency of B = 10-9=1 unit/day
Required day = (126×2/3)/1=84 days

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