If Rohit alone can complete one-fourth of a work in 32 days, then in how many days Rohit alone can complete the whole work?

Options

A. 96 days
B. 128 days
C. 64 days
D. 118 days

Answer

To solve the problem, we need to determine how long Rohit will take to complete the entire work if he can complete one-fourth of it in 32 days.

### Step-by-Step Solution:

1. **Understanding the Work Done**:
Rohit can complete \( \frac{1}{4} \) of the work in 32 days.

2. **Finding the Time for the Whole Work**:
Since \( \frac{1}{4} \) of the work takes 32 days, we can find the time for the whole work by multiplying the time taken for \( \frac{1}{4} \) of the work by 4 (because there are 4 quarters in a whole).

\[ \text{Time for whole work} = 32 \text{ days} \times 4 = 128 \text{ days} \]

3. **Conclusion**:
Therefore, Rohit alone can complete the whole work in 128 days.

### Final Answer:
Rohit can complete the whole work in **128 days**.

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