Question

If Art and Rita can do a job in 8 hours (working together at their respective constant rates) and Art can do the job alone in 12 hours. In how many hours can Rita do the job alone?

Answer 1

Answer:

Let Rita does the work in R days. Using basic work formula the equation would be 1/12 + 1/R = 1/8

⇒ 8R + 96 = 12R

⇒ 96 = 4R

⇒ 24 = R Working alone, Rita can do the job in 24 hours.