Question

Logan and Angis paint kitchens in the elderly community. Logan can paint an average kitchen in 5 hours. Angis can do the same in 7 hours. How long will it take if they were to work together? Work shown pls.

Answer 1

`\huge\boxed{\text{2 hours, 54 minutes, and 58 seconds}}`

Explanation:

Logan can complete 1/5 of the job each hour, and Angis can complete 1/7 of the job each hour. Thus, together, they complete 12/35 of the job per hour: (1/5 + 1/7 = 7/35 + 5/35 = 12/35).

In one hour they complete 12/35 of the job, so:

1 hour * 35 = 12/35 jobs

35 hours = 12 jobs

35 hours / 12 = 1 job

2.916 hours = 1 job

.916 hours = 54.96 minutes

.96 minutes = 57.6 seconds ≈ 58 seconds

Hope it helps :) and let me know if you want me to elaborate.