​Maria, an experienced shipping​ clerk, can fill a certain order in 8 hours.Felipe​, a new​ clerk, needs 9 hours to do the same job. Working​ together, how long will it take them to fill the​ order?

1 answer

To solve this problem, we can use the concept of work rates.

Maria's work rate is 1/8 of the job per hour, while Felipe's work rate is 1/9 of the job per hour.

When they work together, their work rates add up. So, the combined work rate is 1/8 + 1/9 = (9 + 8)/(8 * 9) = 17/72 of the job per hour.

Therefore, working together, they can fill the entire order in 72/17 hours, which is approximately 4.24 hours.