Question

Fred paints houses. He was paid 475 dollars for a job that took 19 hours. His second job took 26 hours and he was paid 720. He was paid 1180 for his 3rd job. How long did this job take?

Answer 1

Total time taken to complete the job is 26 hours

Explanation:

Fred's First Job

Total amount paid = 475 dollar

Total hours of work = 19 hours

Charge per hour = 475/19 = 25 dollars per hour

Fred's second job

Total amount paid = 720 dollar

Total hours of work = 26 hours

Charge per hour = 720/26 = 27.69 dollars per hour

Fred's third job

Amount paid = 1180

When amount paid was 720, charge per hour was 27.69

When amount paid is 1180, charge per hour is (27.69/720) * 1180 = 45.38

Total time taken to complete the job = 1180/45.38 = 26 hours