A hiker ascended 3/4
of a kilometer in 1/16
of an hour. What was the mountain hiker's ascent rate in kilometers per hour (kph)?
To find the ascent rate in kph, we will divide the distance ascended by the time it took.
Distance ascended: 3/4 kilometer
Time taken: 1/16 hour
Ascent rate = (3/4) kilometer / (1/16) hour
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
Ascent rate = (3/4) kilometer * (16/1) hour
Simplifying the multiplication:
Ascent rate = 3 * 16 / 4 * 1
= 48 / 4
= 12
Therefore, the mountain hiker's ascent rate was 12 kph.