|
|
Rank: Administration
Groups: Administration
, Administrators
Joined: 1/26/2011
Posts: 22
|
Water flows into a tank at a rate of 1 gallon per second. Water leaves the tank at a rate of 1 gallon per second for each 100 gallons in the tank. The tank is initially empty. How long will it take for the tank to fill with 50 gallons of water?
|
|
|
Rank: Member
Groups: Registered Users
Joined: 3/23/2011
Posts: 5
|
37.5 Seconds methinks
integral of (1 - x/100) from 0 - 50 = 37.5
|
|
|
Rank: Member
Groups: Registered Users
Joined: 3/23/2011
Posts: 5
|
Wait, if there was no leak, it would take 50 seconds, which means the answer must me greater than 50. lolme
|
|
|
Rank: Member
Groups: Registered Users
Joined: 5/31/2011
Posts: 8
|
it is 50 seconds because it on ly takes i second per gallon that flows out!!!! SMARTS
|
|
|
Rank: Member
Groups: Registered Users
Joined: 5/10/2012
Posts: 7
|
the ovarall rate with which water is being stored in the tank is
dv/dt = 1 - v/100 where v is the volume of the water at a particular time
dv/(1-v/100)=dt
integarting both side ant putting limit from 0 to 50
it results 30.10 seconds
i have another maethod also to derive this result by series and sequences and limits...
|
|
|
|
Guest
|
YAFPro Theme Created by Jaben Cargman (Tiny Gecko)Powered by YAF 1.9.3 RC2 |
YAF © 2003-2008, Yet Another Forum.NETThis page was generated in 0.135 seconds.