A hiker ascended 3/4 of a kilometer in 1 1/6 of an hour. What was the mountain hiker's ascent rate in kilometers per hour (kph)?
12 kph
3 kph
16 kph
9 kph
To find the ascent rate in kilometers per hour, we need to divide the distance ascended by the time taken.
The distance ascended is 3/4 of a kilometer.
The time taken is 1 1/6 of an hour, which can be written as 7/6 of an hour.
Now, divide the distance ascended (3/4 km) by the time taken (7/6 hours):
(3/4 km) ÷ (7/6 hours) = (3/4 km) × (6/7 hours) = 18/28 km/hour = 9/14 km/hour
Therefore, the hiker's ascent rate is 9 kph. Answer: \boxed{9 \text{ kph}}.