Question

1. formal normal situations, the minimum speed limit throughout the u.s. interstate highway system is 45 mi/h, or 72 km/h. how far, in kilometers, will a car travel if it is moving continuously at this speed for 3 hours and 20 minutes?

Explanation:

Step1: Convert time to hours

First, convert 20 minutes to hours. Since 1 hour = 60 minutes, then \(20\) minutes \(=\frac{20}{60}=\frac{1}{3}\) hours. So the total time \(t = 3+\frac{1}{3}=\frac{9 + 1}{3}=\frac{10}{3}\) hours.

Step2: Convert speed from miles per hour to kilometers per hour

We know that 1 mile \(= 1.60934\) kilometers. So a speed of \(v = 45\) miles per hour. Converting to kilometers per hour: \(v=45\times1.60934\approx72.42\) km/h (we can also use the given \(72\) km/h for simplicity as an approximation).

Step3: Use the formula \(d=v\times t\)

Using the formula \(d = v\times t\), with \(v = 72\) km/h and \(t=\frac{10}{3}\) hours. Then \(d=72\times\frac{10}{3}\).

$$
LATEXBLOCK0
$$

Answer:

The car will travel \(240\) kilometers.