Question

Question (2) If your car

gets 27.8 miles to the gallon, how many liters of gasoline are necessary to travel 112 km?
This problem can be solved in short steps or in one longer step. In either case, please show your work.
Use the following conversion factors:
1 mi = 1.609 km
1 gal = 3.785 L

Answer 1

9.48 L.

Step-by-step explanation:

Hello!

In this case, as the problem mentions a long way to solve it, we are going to apply it because it can provide the answer more rapidly; thus, considering that 112 km are required, 1 mile equals 1.609 km and 1 gallon equals 3.785 liters, we can set up the proportional factor as shown below:

`112km*(1mi)/(1.609 km)*(1gal)/(27.8mi)*(3.785L)/(1gal)`

Whereas km, mi and gal are cancelled out as it turns out in L; therefore the required liters are:

`9.48L`

Best regards!