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?
Option 1: 12
Option 2: 14
Option 3: 15
Option 4: 16
Correct Answer: 15
Solution :
The efficiency of A is the same as that of B and the efficiency of C is equal to that of A.
Let the efficiency of B is $x$.
Then the efficiency of A is $x$.
Also, the efficiency of C would be $x$.
Since the efficiency is the same, A, B, and C working in any order would take 15 days to complete the work.
Hence, the correct answer is 15.
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