Question

In the figure, Tank A is completely filled with water and Tank B is empty. Some water is poured from Tank A into Tank B so that the height of the water level in the two tanks are the same. What is the height of the water level in each tank ?

Answer 1

Let height of water level in each tank be $x$ cm.

Tank A is completely filled,

Now, some water is poured from tank A to tank B

$\therefore$ Volume of remaining water in tank A = $15\times 15\times x$ cubic.cm

Now, volume of water in tank B = $25\times 11\times x$ cubic.cm

Volume of tank A = Volume of remaining water in tank A + volume of water in tank B

$15\times 15\times 20$$=(15\times 15\times x)+$$(25\times 11\times x$)

$\therefore$ $4500=225x+275x$

$\therefore$ $500x=4500$

$\therefore$ $x=9$ cm

$\therefore$ Height of water level in each tank is $9$ cm.