SOLUTION: A tank can be filled in 18hours by "pump A" or in 24 hours by "pump B" how long will it take to take both pumps working together to fill the tank.... will you please help me with

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A tank can be filled in 18hours by "pump A" or in 24 hours by "pump B" how long will it take to take both pumps working together to fill the tank.... will you please help me with       Log On


   



Question 726340: A tank can be filled in 18hours by "pump A" or in 24 hours by "pump B" how long will it take to take both pumps working together to fill the tank.... will you please help me with this??
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem filling the tank is 1 job
Pump A takes 18 hours.
so it does 1/18 of the job in 1 hour
similarly Pump B does 1/24 of the job in 1hour
together they do 1%2F18+%2B+1%2F24+ of the job in 1 hour
=7/72 of the job in 1 hour
so they will take 72/7 hours to do the job together
10.38 hours