SOLUTION: if one outlet pipe can drain a tank in 24 hours while a second outlet pipe can drain the same tank in 36 hours, how long will it take to drain the tank if both pipes are open?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: if one outlet pipe can drain a tank in 24 hours while a second outlet pipe can drain the same tank in 36 hours, how long will it take to drain the tank if both pipes are open?      Log On


   



Question 321571: if one outlet pipe can drain a tank in 24 hours while a second outlet pipe can drain the same tank in 36 hours, how long will it take to drain the tank if both pipes are open?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
if one outlet pipe can drain a tank in 24 hours while a second outlet pipe can drain the same tank in 36 hours, how long will it take to drain the tank if both pipes are open?
draining the tank is 1 job.
..
1 drain does the job in 24 hours
so it does 1/24 of the job in 1 hour.
..
second does the job in 36 hours
so it does 1/36 of the job in 1 hour
..
together they do 1/24+1/36 of the job in 1 hour
LCD = 72
= 3+2/72
=5/72
5/72 0f the job they do together in 1 hour
1 job they do in 72/5 hours
=14.4 hours