Question

1. pierre cycles at 4 miles per hour and travels a distance of 13 miles. how long does his journey take?

Explanation:

Step1: Recall the formula for time

The formula relating distance (\(d\)), speed (\(v\)), and time (\(t\)) is \(t=\frac{d}{v}\), where \(d\) is the distance traveled, \(v\) is the speed, and \(t\) is the time taken.

Step2: Substitute the given values

We are given that the speed \(v = 4\) miles per hour and the distance \(d=13\) miles. Substituting these values into the formula \(t=\frac{d}{v}\), we get \(t=\frac{13}{4}\).

Step3: Calculate the value

\(\frac{13}{4}=3.25\) hours. We can also express this as 3 hours and 15 minutes (since \(0.25\times60 = 15\) minutes), but in decimal form, it is 3.25 hours.

Answer:

The journey takes \(\boldsymbol{3.25}\) hours (or 3 hours and 15 minutes).