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)?(1 point)
Responses
12 kph
12 kph
3 kph
16 kph
9 kph
To find the ascent rate in kph, divide the distance ascended by the time taken:
Distance: 3/4 kilometer
Time: 1 1/6 hour
Convert the time to a fraction:
1 1/6 hour = 6/6 + 1/6 = 7/6 hour
Ascent rate = Distance / Time
Ascent rate = (3/4) kilometer / (7/6) hour
To divide fractions, multiply the first fraction by the reciprocal of the second fraction:
Ascent rate = (3/4) kilometer * (6/7) hour
Ascent rate = (3*6) / (4*7) kilometer/hour
Ascent rate = 18/28 kilometer/hour
Simplified, the ascent rate is 9/14 kilometer per hour.
Therefore, the mountain hiker's ascent rate is 9 kph. Answer: \boxed{9}.