SOLUTION: [ A shark tank contains a fill hose and drainage pipe. The tank can be filled in 4 hours using the [hose]. The tank can be emptied in 5 hours using the drain. How long will it take

Question 816039: [ A shark tank contains a fill hose and drainage pipe. The tank can be filled in 4 hours using the [hose]. The tank can be emptied in 5 hours using the drain. How long will it take to fill the tank with the drain open? (You must show the equation, all solving steps, and state your final answer with appropriate units.) ]
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
V is the tank's volume
---
fill rate:
f = V/4 hours
---
drain rate:
d = V/5 hours
---
effective fill rate with the drain open:
e = f - d
e = V/4 - V/5
e = V5/20 - V4/20
e = V/20
---
rate = units / time
time = units / rate
---
Answer:
time to fill tank with drain open:
t = units / rate
t = V / (V/20)
t = 20 hours
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
I have no idea where to even start A shark tank contains a fill hose and a drainage... (answered by richwmiller,Alan3354)

using a particular hose take 4 hours to fill a tank. When a second hose is used, both... (answered by nerdybill)

it takes 6.5 hours to fill a large tank with oil using Pipe a. using both pipe a and b,... (answered by richwmiller)

A tank can be filled using hose A alone in 3 hours, using hoses A and B together in 72... (answered by ankor@dixie-net.com)

a fish tank can be filled in 5 minutes if water enters through a pipe alone, or 8 minutes (answered by ptaylor)

One can fill a tank in 4 hours. Together with a second pipe, the tank can be filled in 3... (answered by nerdybill,stanbon)

If Hose A can fill up a tank in 20 minutes and Hose B can fill up the tank in 15 minutes... (answered by nerdybill,Alan3354)

Pipe A can fill a tank in 4 hours, and pipe B can fill the tnk in half hte time required... (answered by venugopalramana)

A pool can be filled in 12 hours using a pipe alone, or in 28 hours using a hose alone.... (answered by checkley77,nerdybill)