Final answer:
Josiah can jog 6 miles in 15 minutes.
Step-by-step explanation:
To find the distance Josiah can jog in 15 minutes, we can use a proportion.
We know that Josiah can jog 1/4 mile in 2.5 minutes. To find out how far he can jog in 15 minutes, we set up the proportion: 1/4 mile is to 2.5 minutes as x miles is to 15 minutes. Cross multiplying, we get 2.5x = 15.
By dividing both sides by 2.5, we find that x = 6. Therefore, Josiah can jog 6 miles in 15 minutes.