Question : A and B can do a piece of work in nine days. If A does three times the work of B in a given time, the time A alone will take to finish the work is:
Option 1: 4 days
Option 2: 6 days
Option 3: 8 days
Option 4: 12 days
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Correct Answer: 12 days
Solution :
Given:
According to the question, the ratio of 1 day of work of A and B is 3 : 1.
Let, the total work done in 9 days = 9 × (3 + 1) = 36 units
Work done = Efficiency × Time
So, the time taken by A alone to finish the work = $\frac{36}{3}$ = 12 days
Hence, the correct answer is 12 days.
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