Question

A rectangular tank measuring 12 m length, 8 m width and 6 m height is being filled with water at a rate of 550 Literminute−1 . Water drains from a hole at the mid-height (3 m) at a rate of 150 Literminute−1 whenever the water level is above mid-height. Find the amount of time required to fill the tank with water.

Answer 1

Answer:

It will take 720 minute to fill the tank

Explanation:

We have given that length of rectangular tank l = 12 m

Width w = 8 m

Rate at which water is filled in the tank = 550 l/min

And rate at which water come out from the tank = 150 l/min

So net rate of filling the tank = 550-150 = 400 l/min

Height up to which we have to fill the tank h = 3 meter

So volume of the tank $V=12\times 8\times 3=288m^3$

We know that $1m^3=1000liters$

So $288m^3=288000liters$

So required time to fill the tank $time=\frac{288000}{400}=720 minute$