To determine how long it will take the bicyclist to travel 30 kilometers at a speed of 15 kilometers per hour, we use the formula for time, which is:
[tex]\[ T = \frac{d}{s} \][/tex]
Here, [tex]\( T \)[/tex] represents time, [tex]\( d \)[/tex] represents distance, and [tex]\( s \)[/tex] represents speed.
Given:
- Distance ([tex]\(d\)[/tex]) = 30 km
- Speed ([tex]\(s\)[/tex]) = 15 km/h
Plug these values into the formula:
[tex]\[ T = \frac{30 \text{ km}}{15 \text{ km/h}} \][/tex]
Now, perform the division:
[tex]\[ T = 2 \text{ h} \][/tex]
So, the time it will take the bicyclist to travel 30 kilometers at a speed of 15 kilometers per hour is 2 hours.
Therefore, the correct answer is:
d. [tex]\( 2 \text{ h} \)[/tex]