Problema Solution
Manuel can clean his family’s pool in 2 hours. His younger sister, Maria, can do it in 3 hours. If they work together, how long will it take them to clean the pool?
Answer provided by our tutors
Let 't' represent the time Manuel and Maria need to clean the pool together.
Manuel's rate is 1/2 pool per hour.
Maria's rate is 1/3 pool per hour.
(1/2)t + (1/3)t = 1
........
click here to see the equation solved for t
........
t = 6/5 hr
t = 6*60/5 min (since 1 hr = 60 min)
t = 72 min
t = 1 hr 12 min
The will need 1 hour and 12 minutes to clean the pool together.