Question

Ravi can do \( \frac{3}{4} \) of a work in 12 days. In how many days Ravi can finish the \( \frac{1}{2} \) work?

• A. 7 days
• B. None of these
• C. 8 days
• D. 6 days

Hint:

To calculate the time taken for a fraction of the work, use the ratio of the work done and the total time, then apply it to the desired fraction.

Answer 1

The Correct Option is D

Let the total work be denoted by \( W \). Ravi completes \( \frac{3}{4} \) of the work in 12 days, so the total time taken to complete the entire work would be: \[ \text{Total time} = \frac{12}{3/4} = 16 \, \text{days} \] Now, we need to find how many days Ravi will take to complete \( \frac{1}{2} \) of the work. The time taken for \( \frac{1}{2} \) of the work is: \[ \frac{1}{2} \times 16 = 8 \, \text{days} \] Therefore, Ravi will take 8 days to finish \( \frac{1}{2} \) of the work.