Q. A can do 3/4 of a work in 12 days. He can complete 1/8 of the work in

The correct answer is (D) 2 days.

Explanation:

Step 1: Determine A’s work rate
A can complete 3/4 of the work in 12 days.
So, the amount of work A does in 1 day is:
Work rate = (3/4) ÷ 12 = (3/4) × (1/12) = 1/16 of the work per day.

Step 2: Time to complete 1/8 of the work
Now, we need to find how many days A will take to complete 1/8 of the work.
If A completes 1/16 of the work in 1 day, then the time required to complete 1/8 of the work is:
Time = (Work) ÷ (Work rate) = (1/8) ÷ (1/16) = 2 days.

Final Answer: The correct option is (D) 2 days.