Question

Your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon on this winding road. to be sure you don't run out of gas, you never want to have less than 1 gallon in the tank. you start with a full tank of gas. will you need to stop for gas during the first day's drive? explain how you know, and show your work.

Answer 1

If you had to drive for more than 300 kilo meters for the first day you need to stop for gas fill up.

What is unitary method ?

Unitary method is a mathematical tool for finding the value of single unit then deriving the given units according to the question.

According to the given question your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon.

Given that you never want to run out of gas to not face this issue you always keep 1 gallon of gas in the tank.

So when you fill your tank completely you fill for 12 gallons of gas because 1 gallon is already there.

Also given that the car can go 25 miles per gallon.

So, for 12 gallons of gas you can go (25 × 12 ) miles which is

= 300 miles.

If you had to drive for more than 300 kilo meters then you need to stop for gas in first day's drive.

learn more about unitary method here :

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