Question
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)?
Answers
GPT 3.5
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.
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.