Question

1. driving at an average speed of 52 mph, how long will it take someone to take a 390 mile road trip?

Explanation:

Step1: Recall the formula for time

The formula relating speed (\(v\)), distance (\(d\)), and time (\(t\)) is \(t=\frac{d}{v}\). Here, the speed \(v = 52\) mph and the distance \(d=390\) miles.

Step2: Substitute the values into the formula

Substitute \(d = 390\) and \(v=52\) into the formula \(t=\frac{d}{v}\), we get \(t=\frac{390}{52}\).

Step3: Simplify the fraction

Simplify \(\frac{390}{52}\), we can divide both the numerator and the denominator by 26. \(390\div26 = 15\) and \(52\div26=2\), so \(\frac{390}{52}=\frac{15}{2}=7.5\).

Answer:

It will take 7.5 hours.