anita can iron a dress shirt in 15 minutes, but it takes michelle 18 minutes to do the same. working together, how many minutes will it take them to iron 11 dress shirts?

To solve this problem, we need to calculate the combined rate at which Anita and Michelle can iron dress shirts per minute.

Anita's rate = 1 dress shirt / 15 minutes = 1/15 dress shirts per minute
Michelle's rate = 1 dress shirt / 18 minutes = 1/18 dress shirts per minute

Combined rate = Anita's rate + Michelle's rate = 1/15 + 1/18 = 6/90 + 5/90 = 11/90 dress shirts per minute

Therefore, it will take them:
11 dress shirts / (11/90 dress shirts per minute) = 90 minutes to iron 11 dress shirts.