Vijay alone can complete a work in 50 days. How much part of the work will be completed in ten days ?

Options

A. `1/5`
B. `1/3`
C. `1/10`
D. `1/4`

Answer

To solve the problem, we need to determine how much of the work Vijay can complete in 10 days, given that he can finish the entire work in 50 days.

### Step-by-Step Solution:

1. **Determine the total work**:
Let's assume the total work is represented as 1 unit (or 100% of the work).

2. **Calculate work done by Vijay in one day**:
Since Vijay can complete the entire work in 50 days, the amount of work he can complete in one day is:
\[ \text{Work done in 1 day} = \frac{1 \text{ unit of work}}{50 \text{ days}} = \frac{1}{50} \text{ units of work per day} \]

3. **Calculate work done by Vijay in 10 days**:
To find out how much work he can complete in 10 days, we multiply the work done in one day by 10:
\[ \text{Work done in 10 days} = 10 \times \frac{1}{50} = \frac{10}{50} = \frac{1}{5} \text{ units of work} \]

4. **Conclusion**:
Therefore, the part of the work that Vijay will complete in 10 days is \(\frac{1}{5}\) of the total work.

### Final Answer:
Vijay will complete \(\frac{1}{5}\) of the work in 10 days.

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