To determine the hiker's ascent rate in kilometers per hour, you need to calculate the distance traveled (in kilometers) divided by the time taken (in hours).
The formula to find the rate is:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} \]
In this case:
- Distance = \( \frac{3}{4} \) kilometers
- Time = \( \frac{1}{16} \) hours
So the ascent rate \( R \) can be calculated as:
\[ R = \frac{\frac{3}{4}}{\frac{1}{16}} \]
To divide by a fraction, you multiply by its reciprocal:
\[ R = \frac{3}{4} \times \frac{16}{1} = \frac{3 \times 16}{4 \times 1} = \frac{48}{4} = 12 \]
Thus, the ascent rate is \( 12 \) kilometers per hour.
The correct process to solve this problem is 3/4 divided by 1/16.