Question

I need Help !!

A tank with a base area of 480 square i
centimeters and height 15 centimeters
is filled with water. Water is flowing from Faucet X into the tank at a rate of 1.5 liters per minute. At the same time, water is drained out from Faucet Y at a rate of 2.1 liters per minute. How long will it take to empty the tank?
(1 L-1,000 cm³)​

Answer 1

The volume of the tank is given by the formula:

Volume = Base Area x Height

Substituting the given values, we get:

Volume = 480 cm² x 15 cm = 7200 cm³

Since 1 L = 1000 cm³, the volume of the tank is:

7200 cm³ / 1000 cm³/L = 7.2 L

The net rate of water flow out of the tank is:

Net Rate = Flow In - Flow Out
Net Rate = 1.5 L/min - 2.1 L/min
Net Rate = -0.6 L/min

The negative sign indicates that water is flowing out of the tank faster than it is flowing in.

To find the time it takes to empty the tank, we can use the formula:

Time = Volume / Net Rate

Substituting the given values, we get:

Time = 7.2 L / (-0.6 L/min) = -12 min

The negative sign indicates that the answer doesn't make sense in this context. In reality, the tank would never empty faster than it is being filled. Therefore, we can conclude that there is an error in the problem. Please check the problem again and make sure that the flow rates are correct.

Answer 2

Answer: 12 min

Explanation:

Volume = Bh Where

B=Area of Base = 480 cm²

h = height = 15 cm

Volume = 480 x 15

Volume = 7200 cm³

Convert the volume to Liters Given(1 L=1,000 cm³)

Volume = ( 7200 cm³)(1 L/1,000 cm³)

Volume = 7.2 L

They want to know how long it will take to empty the tank with

Volume=7.2 L container

But it is being filled and emptied at the same time.

Filled at rate, X=1.5 L/min and

Emptied at rate, Y=2.1 L/min

After 1 min : Filled to 8.7 but resulted in emptying to 6.6

After 2 min : Filled to 8.1 but resulted in emptying to 6

After 3 min : Filled to 7.5 but resulted in emptying to 5.4

You can see that this results in emptying at a rate of .6 L/min

So if we divided Volume by .6 L/min that will give us how many min it takes

Time = Volume/rate

Time = (7.2 Liters) / (.6 L/min)

Time = 12 min