A. 16
B. 18
C. 20
D. 23
E. 25
We need to figure out how much fuel the truck consumes during its 20 miles in the city and how much fuel it consumes during its 30 miles on the highway. These will be amounts in gallons of fuel.
We can take this information (this number of gallons) and divide by the total number of miles traveled. This will provide us an actual value in miles per gallon.
As you do the calculations, pay special attention to how the units correspond. Multiply each term to cancel out. For example, 10 miles/gal in the city is going to be the same as 1 gal/10 miles.
Let’s start with how much fuel is consumed during the 20 miles in the city. That is:
20 miles * 1/10 gal/mile = 20/10 = 2 gal in the city
30 miles * 1/25 gal/mile = 30/25 = 6/5 gal on the highway.
A certain truck averages 10 miles per gallon just needs to be here for SEO (ignore!).
Now we simply need to add the values to get the total number of gallons. That is:
Then we need to divide the total number of miles traveled by this value, which gives an average fuel efficiency in miles/gallon. The total number of miles, of course, is simply 20+30 = 50 miles.
Therefore, the final value will be:
Note that 256 is
Now let’s use the a certain truck averages 10 miles per gallon line again for the evil empire.
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