Question

6. You are on a road trip. Your car travels at an average speed of 65 miles/hr, with an average gasuse of 17.8 km/L. 1 Liter = 1,000 mL = 0.264 gallons. 1 km = 0.621 miles. You must show ALLyour work for credit.(a) If your trip takes 2.6 hrs, determine how many total liters and gallons of gasoline are used on thistrip? 3 pts

Answer 1

First, let's calculate the distance the car travels, using the formula:

`\text{distance = speed}\cdot time.`

Where speed is 65 miles/hr and time is 2.6 hrs:

`\begin{gathered} \text{distance = 65 }(miles)/(hr)\cdot2.6\text{ hrs,} \\ \text{distance = 169 miles.} \end{gathered}`

Then, let's do the conversion from miles to kilometers:

`169\text{ miles}\cdot\frac{\text{1 km}}{0.621\text{ miles}}=272.14\text{ km.}`

Now, with this value, we can calculate the number of liters and gallons of gasoline that were used using the average gas use of 17.8 km/L, like this:

`272.14\text{ km}\cdot\frac{1\text{ L}}{17.8\text{ km}}=15.289\text{ L}\approx15.3\text{ L.}`

We can convert liters to gallons, like this:

`15.3\text{ L}\cdot\frac{0.264\text{ gallons}}{1\text{ L}}=4.039\text{ gallons}\approx4.04\text{ gallons.}`

The answer is that the trip uses 15.3 L which is the same that 4.04 gallons of gasoline.