Question

1. how long would it take to travel a distance of 108 miles at an average speed of 48 miles per hour?

Explanation:

Step1: Recall the formula for time

The formula relating distance (\(d\)), speed (\(s\)), and time (\(t\)) is \(t=\frac{d}{s}\).

Step2: Substitute the given values

We know that \(d = 108\) miles and \(s = 48\) miles per hour. Substituting these values into the formula, we get \(t=\frac{108}{48}\).

Step3: Simplify the fraction

Simplify \(\frac{108}{48}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 12. \(\frac{108\div12}{48\div12}=\frac{9}{4} = 2.25\) hours. We can also express this as 2 hours and 15 minutes (since \(0.25\times60 = 15\) minutes).

Answer:

2.25 hours (or 2 hours and 15 minutes)