Final answer:
Joshua runs 8 laps because he covers 2 miles whereas each lap is 1/4 mile. Jaelyn runs 1 1/2 times the number of laps Joshua runs, resulting in her running 12 laps in total.
Step-by-step explanation:
The student is asking about the number of laps Jaelyn runs if she runs 1 1/2 times as many laps as Joshua, who runs two miles. Given that each lap is 1/4 mile long, first, we need to determine how many laps Joshua runs.
Joshua runs two miles, and since each lap is 1/4 mile long, we can calculate the number of laps by dividing the total distance run by the distance of one lap:
Number of laps Joshua runs = Total distance / Distance per lap
Number of laps Joshua runs = 2 miles / (1/4 mile per lap) = 8 laps.
Since Jaelyn runs 1 1/2 times as many laps as Joshua, we can calculate the number of laps Jaelyn runs by multiplying Joshua's number of laps by 1.5:
Number of laps Jaelyn runs = Joshua's laps * 1.5
Number of laps Jaelyn runs = 8 laps * 1.5 = 12 laps.
Therefore, Jaelyn runs 12 laps on the track.