SOLUTION: Jordan can clean the cafeteria in 25 minutes. Ida can clean the cafeteria in 33 minutes. If they work together, approximately how long would it take them to clean the cafeteria?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jordan can clean the cafeteria in 25 minutes. Ida can clean the cafeteria in 33 minutes. If they work together, approximately how long would it take them to clean the cafeteria?       Log On


   

Question 834883: Jordan can clean the cafeteria in 25 minutes. Ida can clean the cafeteria in 33 minutes. If they work together, approximately how long would it take them to clean the cafeteria?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1/25 + 1/33 = 1/x

33/825 + 25/825 = 1/x

(33 + 25)/825 = 1/x

58/825 = 1/x

58x = 825*1

58x = 825

x = 825/58

So it will take 825/58 hours (approximately 14.2241379 hours)