QuestionA truck used $10 \frac{2}{5}$ gallons for 65 miles. Find its fuel efficiency in miles per gallon.

Studdy Solution

STEP 1

Assumptions1. The semi truck used $10 \frac{}{5}$ gallons of fuel. The semi truck traveled65 miles3. We are asked to find the fuel efficiency in miles per gallon

STEP 2

First, we need to convert the mixed number to an improper fraction to simplify calculations.
$10 \frac{2}{5} = \frac{52}{5}$

STEP 3

The fuel efficiency in miles per gallon is calculated by dividing the total distance traveled by the total gallons of fuel used.
$Fuel\, efficiency = \frac{Total\, distance\, traveled}{Total\, gallons\, of\, fuel\, used}$

STEP 4

Now, plug in the given values for the total distance traveled and total gallons of fuel used to calculate the fuel efficiency.
$Fuel\, efficiency = \frac{65\, miles}{\frac{52}{}\, gallons}$

STEP 5

To simplify the division of fractions, we multiply the numerator by the reciprocal of the denominator.
$Fuel\, efficiency =65\, miles \times \frac{5}{52}\, gallons^{-1}$

STEP 6

Calculate the fuel efficiency.
$Fuel\, efficiency =65\, miles \times \frac{5}{52}\, gallons^{-1} = \frac{325}{52}\, miles/gallon$

STEP 7

To make the result more understandable, we can convert the improper fraction to a mixed number.
$Fuel\, efficiency =6 \frac{13}{52}\, miles/gallon$ The fuel efficiency of the truck is $6 \frac{13}{52}$ miles per gallon.

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms