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A, B and C can finish a work in 15 days working alternately in the same order. The efficiency of A is the same as that of B, and the efficiency of C i
Question

A, B and C can finish a work in 15 days working alternately in the same order. The efficiency of A is the same as that of B, and the efficiency of C is equal to that of A. In how many days will the work be finished if they work alternately in the order C,A and B ?

A.

12

B.

14

C.

15

D.

16

Correct option is C

Given:
​A, B, and C finish the work in 15 days working alternately.
The efficiency of A is the same as that of B.
The efficiency of C is equal to that of A.
The order in which they work alternately is C, A, and B. 
Concept Used: 
work efficiency of doing work is inversely proportional to the time taken to complete the work.
Solution:
Efficiency: A = B = C
A,B, C working alternately finish in 15 days
∵ efficiency of all 3 is same
=> Order will not effect
=> Required time = 15 days. ​​

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