A moving Company charges $445 plus $22 per hour. A second company charges $490 plus $19 per hour.

At how many hours will the charges from both companies be the same?

After a certain amount of hours, the two companies will have the same amount of total charges. What is the amount of that charge?

Answer: it will take 15 hours and the amount of charge would be $775

Step-by-step explanation:

Let x represent the number of hours after which, the two companies will have the same amount of total charges.

A moving Company charges $445 plus $22 per hour. It means that the total amount that this company would charge for x hours is

22x + 445

A second company charges $490 plus $19 per hour. It means that the total amount that the second company would charge for x hours is

19x + 490

For the total amount charged by both companies to be the same, the number of hours would be

22x + 445 = 19x + 490

22x - 19x = 490 - 445

3x = 45

x = 45/3

x = 15 hours

The amount of that charge is

19 * 15 + 490

= 285 + 490

= $775