Question

a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas

Answer 1

The vehicle can travel 12 miles per gallon of gas.

Explanation:

• The number of gallons used by a vehicle = 1 1/8 gallons

i.e.

`1(1)/(8)=(9)/(8)` gallons

• The number of miles traveled by a vehicle = 13 1/2 miles

i.e.

`13(1)/(2)=(27)/(2)` miles

Thus,

Total Gallons =9/8 gallons

Total Distance in miles = 27/2 miles

Hence:

Unit Rate = [27/2 miles] / [9/8 gallons]

= 12 miles per gallons ∵
`(27)/(2)/ (9)/(8)=12`

Therefore, the vehicle can travel 12 miles per gallon of gas.