Question

A van travels from Town A to Town B. It uses 1 gallon of gas for every 24 miles traveled. A) How many gallons of gas does the van use if it travels 3x miles? B) The van uses 2y gallons of gas for its journey from Town A to Town B. Find the distance between Town A and Town B.

Answer 1

A)
`(x)/(8)` gallons

B) Distance between Town A and Town B is
`48y` miles

Explanation:

A)

We know, number of gallons =
`(DistanceTravelled)/(MilesPerGallon)`

if miles per gallon (mpg) is given as 24 & total distance travelled is 3x miles, then, using formula we have:

Number of Gallons =
`(DistanceTravelled)/(MilesPerGallon)=(3x)/(24)=(x)/(8)`

B)

Now, given is number of gallons = 2y & we know mpg is 24; so what is the distance?

We use the same formula and solve for distance (let distance between A and B be "D"):

`NumberOfGallons=(DistanceTravelled)/(MilesPerGallon)\\2y=(D)/(24)\\D=2y*24\\D=48y`