College

The carpenter charges $448 for a job. If he charges $35 for every 3 hours of work done, how many hours did he work?

a 12.8 hours

b 37.2 hours

c 13.2 hours

d 38.4 hours

Answer :

The carpenter worked approximately d) 38.4 hours.

  • Determine the hourly rate

The carpenter charges $35 for 3 hours of work. To find the hourly rate, we divide $35 by 3:

Hourly rate = 35 / 3 ≈ 11.67 (approximately).

So, the carpenter charges approximately $11.67 per hour.

  • Set up the equation

We know the total cost of the job is $448. Let h represent the number of hours the carpenter worked. Using the hourly rate we calculated, we can set up the following equation:

11.67 × h = 448.

  • Solve for h

To find h, divide both sides of the equation by 11.67:

h = 448 / 11.67 ≈ 38.4.