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)?
To find the hiker's ascent rate, we divide the distance ascended by the time taken.
Distance ascended = 3/4 km
Time taken = 1 1/6 hour
We convert the mixed number time taken into an improper fraction.
1 1/6 = 6/6 + 1/6 = 7/6
Ascent rate = (Distance ascended) / (Time taken)
= (3/4 km) / (7/6 hr)
To divide a fraction by a fraction, we multiply by the reciprocal. So the ascent rate is:
= (3/4 km) * (6/7 hr)
= 18/28 km/hr
= 9/14 km/hr
Therefore, the hiker's ascent rate is 9/14 km/hr.