Hi all,

There is no indication of base so am wondering how to solve this sum. Thank you for taking the time.(Nod)

http://i55.tinypic.com/nnqykn.jpg

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- Jul 3rd 2011, 01:30 AMfleurdelWater draining from two tanks.
Hi all,

There is no indication of base so am wondering how to solve this sum. Thank you for taking the time.(Nod)

http://i55.tinypic.com/nnqykn.jpg - Jul 3rd 2011, 04:45 AMSorobanRe: Is this sum solvable?
Hello, fleurdel!

Quote:

18. There are two tanks filled with water.

They are being emptied by two different taps, each with a constant flow of water.

Tank A is 5 cm taller than Tank B.

Code:`* - - - *`

|: : : :|

| : : : | * - - - - *

|: : : :| |: : : : :|

x | : : : | | : : : : |

|: : : :| |: : : : :| x-5

| : : : | | : : : : |

|: : : :| |: : : : :|

*-------* *---------*

A B

The tap of Tank A was opened at 7:00 a.m.

Tank A was empty at 1:00 p.m.

The tap of Tank B was opened at 8:30 a.m.

Tank B was empty at 12:30 p.m.

The water level of both tanks were equal at 11 a.m.

What is the height of tank A?

. .

. .

. . .[1]

. . .[2]

Substitute [1] into [2]: . .[3]

At ll:00 a.m. the two tanks had the same height.

Tank A: in 4 hours, the level dropped

. . The height was: .

Tank B: in 2.5 hours, the level dropped

. . The height was: .

We have: . .[4]

Solve [3] and [4]: .

Substitute into [1]: .

Therefore, Tank A is 45 cm high.

- Jul 18th 2011, 07:22 AMfleurdelRe: Water draining from two tanks.
Thank you so much, Soroban.