SOLUTION: Gallagher’s Service Station charges $35 per hour for labor and a towing fee of $30. City Car Service charges $45 per hour for labor with free towing. Find the amount of time for

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Gallagher’s Service Station charges $35 per hour for labor and a towing fee of $30. City Car Service charges $45 per hour for labor with free towing. Find the amount of time for       Log On


   

Question 1172691: Gallagher’s Service Station charges $35 per hour for labor and a towing fee of $30. City Car Service charges $45 per hour for labor with free towing. Find the amount of time for which both companies charge the same amount.
Found 2 solutions by ewatrrr, greenestamps:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

 Let x represent the hours of labor    

Gallager's: $30 + $35x

City Car: $45x 

Find the amount of time for which both companies charge the same amount

$30 + $35x = $45x

30 = 10x

3 = x 

x = 2hr  Find the amount of time for which both companies charge the same amount

CHECKING our answer***

$30 + $70 = 2*$35  Checks!

Wish You the Best in your Studies.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A formal algebraic solution is fine, and it is appropriate for a beginning algebra student.

But if a formal solution is not required, you can get some good mental exercise by solving the problem informally, using logical reasoning and simple arithmetic.

The difference between the hourly rates is $45-$35 = $10.
The $30 flat fee from one company is the equivalent of $30/$10 = 3 hours.

So the cost will be the same from both companies if the job takes 3 hours.