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
