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 By: griniegenie (offline)  Thursday, July 24 2014 @ 11:42 PM CDT (Read 2177 times)
griniegenie

Hi all,

Could someone enlighten me on this qn on volume?

Two different tanks, A and B were filled with water.
If Tank A leaked 10 ml of water each hour and Tank B leaked 5 ml of water each hour, Tank A would still have 300 ml of water left when Tank B became empty.
If Tank A leaked 5 ml og water each hour and Tank B leaked 10 ml of water each hour, Tank A would still have 750 ml of water left when Tank B was emply.
How much water was there in tank A at first?

Newbie

Registered: 12/31/06
Posts: 4

 By: echeewh (offline)  Friday, July 25 2014 @ 01:12 AM CDT
echeewh

Hey <griniegenie>

Following is my worked solution :

** - for alignment purpose

using <Model> method,

<1st IF>
<Leak ratio>
A : B
10 : 5
2 : 1

When B became empty (i.e. leaked 1p of water), A would leak 2p and left with 300 ml as follows:

A |---|---|<----- 300 ----->|
B |---|

<2nd IF>
<Leak ratio>
A : B
5 : 10
1 : 2

From the <1st IF> model, we split the 1 part(p) of B into 2 units(u).

So when B became empty (leaked 2u of water), A would leak 1u and left with 750 ml as follows:

*** <------- 750 ---------->|
A |-|-|-|-|<----- 300 ----->|
B |-|-|

From model A,
3u --> 750 - 300 = 450
1u --> 150

Tank A (at first) = 1u + 750
1u + 750 --> 150 + 750
= 900 ml

=======

Trust this helps.

Do let me know again if there's further clarification.

Cheers,
Edward

Active Member

Registered: 04/21/11
Posts: 627

 By: griniegenie (offline)  Friday, July 25 2014 @ 01:49 AM CDT
griniegenie

Yes, it did help in understanding!
Thanks!

Newbie

Registered: 12/31/06
Posts: 4

 By: Chanon (offline)  Tuesday, August 19 2014 @ 08:45 AM CDT
Chanon

Hi,

Newbie

Registered: 10/04/12
Posts: 7

 By: Chanon (offline)  Tuesday, August 19 2014 @ 08:45 AM CDT
Chanon

Hi,

Newbie

Registered: 10/04/12
Posts: 7

 By: echeewh (offline)  Tuesday, August 19 2014 @ 10:25 AM CDT
echeewh

Hey <Chanon>

Perhaps u can tell me which part of the solution u need further clarification on.
It will be good if you can be more specific as a model is being illustrated..

Thank you.

Edward

Active Member

Registered: 04/21/11
Posts: 627

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