Question

a car used 130 gallon of gasoline on a 6 1/2 hour trip. the total distance of the trip was 365 miles. using this information determine the average number of gallon used in one hour

Answer 1

Answer: 20 gallons per hour.

Explanation:

Let be "x" the average number of gallons that the car used in one hour.

You need to analize the information given in the exercise:

1. The total amount of gallons used by the car was:

`Total\ used=130\ gallons`

2. The car consumes that amount in
`6(1)/(2)\ hours`.

So, to convert the mixed number to a decimal number, you must divide the numerator by the denominator of the fraction and add the result to the whole number part. Then:

`(6+(1)/(2))\ hours=6.5\ hours`

Set up the following proportion:

`(130)/(6.5)=(x)/(1)`

Finally, you must solve for "x" in order to find its value:

`(130)/(6.5)=x\\\\x=20`