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)?(1 point)
To find the ascent rate, we need to divide the distance ascended by the time taken.
Distance ascended = 3/4 kilometer
Time taken = 1/16 hour
Ascent rate = Distance ascended / Time taken
= (3/4) kilometer / (1/16) hour
To divide a fraction by a fraction, we multiply by the reciprocal.
= (3/4) kilometer * (16/1) hour
Now, we can simplify the expression by canceling out the common factors.
= (3 * 16) / (4 * 1) kilometer per hour
= 48/4 kilometer per hour
Finally, let's simplify the expression.
= 12 kilometer per hour
Therefore, the mountain hiker's ascent rate is 12 kilometers per hour.