When Dustin goes to work, he drives at an average speed of 55
miles per hour. It takes about 2 hour and 15 minutes for Dustin to
arrive at work. His car travels about 25 miles per gallon of gas. If
gas costs $2.75 per gallon, how much money does Justin spend to
travel each mile to work?

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absor201 absor201 · Answer 1 · 2019-12-09T18:42:31+01:00

Dustin spends $13.6125 on going to work daily. It is 0.11 dollars per mile

Step-by-step explanation:

we have to caalculate the distance between Dustin's home and work

So

Given

Speed =s = 55 miles per hour

Time = t = 2 hours and 15 minutes

Converting time into fraction

Time = 2.25 hours

We know that

[tex]s = \frac{d}{t}\\d = s * t\\d = 55 * 2.25\\d = 123.75\ miles[/tex]

So the distance is 123.75 miles

The car travels 25 miles per gallon

We have to calculate the total number of gallon first

So,

[tex]No.\ of\ gallons = \frac{Miles}{Miles\ per\ gallon}\\=\frac{123.75}{25}\\=4.95\ gallons[/tex]

So the total amount is:

[tex]2.75*4.95\\= 13.6125\ dollars[/tex]

Total amount is $13.6125. Dividing it by total distance will give us the cost of each mile

So,[tex]Cost\ of\ mile = \frac{Total\ amount}{Distance}\\= \frac{13.6125}{123.75}\\=0.11\ dollars[/tex]

Hence,

Dustin spends $13.6125 on going to work daily. It is 0.11 dollars per mile

Keywords: Speed, Distance

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