A is thrice as efficient as B. Working together they complete

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A is thrice as efficient as B. Working together they complete the work in 3 days. If B take 8 days more then A, What is the number of days taken by A to finish the while work, alone?

1. 4
2. 2
3. 12
4. 16

Correct Option: A

Efficiency of A + B = 33.33% = 100/3
Ratio of efficiency of A and B = 3 : 1
∴ Efficiency of A = (3/4) x 33.33 = 25%
∴ Number of days taken by A = 100/25 = 4