If x people working together at the same rate can complete a job in h hours, what part of the same job can one person working alone complete in k hours?

Options

A. `(k)/(xh)`
B. `(h)/(xk)`
C. `(k)/(x+h)`
D. `(kh)/(x)`

Answer

To solve the problem, we need to determine what part of a job one person can complete in \( k \) hours, given that \( x \) people can complete the job in \( h \) hours.

### Step-by-Step Solution:

1. **Calculate the Total Work Done by \( x \) People**:
- If \( x \) people can complete the job in \( h \) hours, the total work can be expressed as:
\[ \text{Total Work} = \text{Number of People} \times \text{Hours Worked} = x \times h \]

2. **Calculate the Work Done by One Person in \( k \) Hours**:
- If one person works for \( k \) hours, the work done by that one person can be calculated as:
\[ \text{Work Done by One Person} = 1 \times k = k \]

3. **Determine the Fraction of the Job Completed by One Person**:
- The fraction of the total job that one person can complete in \( k \) hours is given by the ratio of the work done by one person to the total work:
\[ \text{Fraction of Work Done} = \frac{\text{Work Done by One Person}}{\text{Total Work}} = \frac{k}{x \times h} \]

4. **Final Expression**:
- Therefore, the part of the job that one person can complete in \( k \) hours is:
\[ \frac{k}{x h} \]

### Conclusion:
The correct option for the fraction of work done is:
\[ \text{Option A: } \frac{k}{x h} \]