Question

An experimental vehicle was able to travel 38 3 8 mile on 116 1 16 gallon of water. At this rate, what was the mileage in miles per gallon of water for this vehicle?

Options:
A) 3 1/3
B) 3 1/4
C) 2 3/4
D) 3 3/4

Answer 1

B) 3 1/4.The correct mileage in miles per gallon of water for the experimental vehicle is option B) 3 1/4. This is calculated by converting the given distances to improper fractions and then dividing the total miles by the total gallons.

Step-by-step explanation:

The correct answer is option B) 3 1/4. To determine the mileage in miles per gallon of water for the vehicle, we can set up a ratio. First, we need to ensure that the given distances are in similar units so that we can compare them directly.

We take the distance of 38 3/8 miles and the water consumed 116 1/16 gallons. In the next step, we convert both fractions to improper fractions to simplify the calculation.

For the miles:

38 3/8 miles = 38 × 8/8 + 3/8 miles = 304/8 + 3/8 miles = 307/8 miles.

For the gallons:

116 1/16 gallons = 116 × 16/16 + 1/16 gallons = 1856/16 + 1/16 gallons = 1857/16 gallons.

Then, divide the total miles by the total gallons to get the vehicle's mileage in miles per gallon:

307/8 miles ÷ 1857/16 gallons = 307/8 × 16/1857 = 307 × 2/1857 = 614/1857.

Upon reducing the fraction 614/1857, we get:

614/1857 = 3 1/4. Hence the vehicle's mileage is 3 1/4 miles per gallon of water.