Chapter 1.3, Problem 100E

To determine

To Explain:

Pipes in which fluid is flowing in specific subintervals of one-hour interval of time.

Answer to Problem 100E

Fluid was flowing through this particular pip in $10to20,30to40,45to50$ sub-intervals.

Explanation of Solution

Give information:

  

It is given that $100gallon$ pipe has a intake pipe of $10gallon$ per minute flow rate and it has two drains pipes ( $5gallon$ per minute flow rate).

  

Above given graph shows volume $V\left(ingallons\right)$ of fluid in the tank as function of time $t\left(in\min tes\right)$ .

From the graph, its observed tat tank volume is decreasing in the sub interval $20to30\min utes$ .

At time $t=20$ the volume was $75gallon$ and after $10\min utes$ that is at time $t=30$ the volume decreases to $25gallons$ .

  $50gallons$ of fluid has flown out of the tank in time interval of $10\min utes$ that implies only one of the drain pip was working in this interval.

For time interval $10to20,30to40,45to50$ fluid was flowing through this drain pipe along with the other two pipes as eh volume remained constant in the tank.

Therefore, Fluid was flowing through this particular pip in $10to20,30to40,45to50$ sub-intervals.