Help with Word Problem

A professional organizer charges a $45 fee plus $20 per hour. Her competitor charges a $30 dollar fee, plus $ 25 per hour. For what number of hours will the total charge be the same?
A. 1/3 hours
B. 1 2/3 hours
C. 3 hours
D. 15 hours

No. of hours—h:
$45 + $20h = $30 + $25h
5h = 15
h = 3

Answer: C. 3 hours

Proof:
$45 + $20(3) = $30 + $25(3)
$45 + $60 = $30 + $75
$105 = $105

Let x = the number of hours

45 + 20x = 30 + 25x
-5x = - 15
x = 3

They will charge the same for 3 hours. The answer is C.

Check:
45 + 3 x 20 = 30 + 3 x 25
45 + 60 = 30 + 75
105 = 105

Jim

The answer is C.

3x20+45=105

3x25+30=105

3 is the hours, 25 and 20 are the money per hour, and 30 and 45 are the base fee.

Let the no of hours be X

45 +20X = 30 + 25X

5X = 15
X = 3 hours ANSWER is C

A. 1/3 hours