Working alone, it takes Leeann 30 minutes to clean the back yard. Mandy can clean backyard in 25 minutes . If they worked together how long would it take them to clean the yard?
25 minuets because Mandy can clean it faster but them working together wont make it faster.
13.64 minutes
To determine how long it would take Leeann and Mandy to clean the yard together, we can use the concept of "work rates."
Let's assume that the amount of work required to clean the yard is considered as 1 unit. In this scenario, we can calculate the work rates of Leeann and Mandy as follows:
Leeann's work rate: 1 yard / 30 minutes = 1/30 yard per minute
Mandy's work rate: 1 yard / 25 minutes = 1/25 yard per minute
Now, when they work together, we can add their work rates:
Combined work rate = Leeann's work rate + Mandy's work rate
Combined work rate = 1/30 yard per minute + 1/25 yard per minute
To further simplify the calculation, we can find a common denominator:
Combined work rate = (25/25) * (1/30) + (30/30) * (1/25)
Combined work rate = 25/750 yard per minute + 30/750 yard per minute
Combined work rate = 55/750 yard per minute
Now, we can determine the time required to clean the yard together by using the formula:
Time = 1 yard / Combined work rate
Time = 1 yard / (55/750 yard per minute)
Time = 750/55 minutes
Simplifying further, we find:
Time = 1363.6 minutes (approx.)
Therefore, it would take Leeann and Mandy approximately 1363.6 minutes (or approximately 22.7 hours) to clean the yard together.