Question

A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

• A. 8
• B. 9
• C. 12
• D. 15
• E. 27

Hint:

To find the required increase in fuel efficiency, calculate the current and required efficiencies, then subtract the current efficiency from the required efficiency.

Answer 1

The Correct Option is C

Step 1: Calculate the current fuel efficiency.
The truck currently uses 18 gallons of diesel to travel 270 miles. The current fuel efficiency is: \[ \text{Current fuel efficiency} = \frac{270}{18} = 15 \, \text{miles per gallon}. \] Step 2: Calculate the desired fuel efficiency.
The truck needs to travel 270 miles using only 10 gallons of diesel. The required fuel efficiency is: \[ \text{Required fuel efficiency} = \frac{270}{10} = 27 \, \text{miles per gallon}. \] Step 3: Find the increase in fuel efficiency.
The truck’s fuel efficiency must increase from 15 miles per gallon to 27 miles per gallon. The increase in fuel efficiency is: \[ 27 - 15 = 12 \, \text{miles per gallon}. \] Conclusion:
Thus, the truck’s fuel mileage must be increased by 12 miles per gallon. The correct answer is (C) 12.