SOLUTION: A worker at a particular company is in charge of a tank that holds and dispenses a certain liquid chemical throughout the factory. The tank has two pipes dispensing liquid from the

Question 218913: A worker at a particular company is in charge of a tank that holds and dispenses a certain liquid chemical throughout the factory. The tank has two pipes dispensing liquid from the tank to the factory. One of the pipes can empty the tank when full in 3 hours. The other pipe can empty the tank when full in 4 hours. A third pipe is used to fill the tank with the liquid chemical and it can fill the tank in 45 mins. If the Tank was half full and all three pipes were running at full capacity, then how long would it take for the tank to be completely full?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A worker at a particular company is in charge of a tank that holds and dispenses
a certain liquid chemical throughout the factory.
The tank has two pipes dispensing liquid from the tank to the factory.
One of the pipes can empty the tank when full in 3 hours.
The other pipe can empty the tank when full in 4 hours.
A third pipe is used to fill the tank with the liquid chemical and it can fill the tank in 45 mins.
If the Tank was half full and all three pipes were running at full capacity,
then how long would it take for the tank to be completely full?
:
Let t = time required with all three pipes running
:
Let the full tank = 1. = half a tank
:
45 min = .75 hrs
:
+ + =
Multiply equation by 12:
4t + 3t + 16t = 6
23t = 6
t =
which is:
* 60 = 15.65 minutes
:
:
Check solution using decimal for 6/23
+ + =
.087 + .065 + .347 = .499 ~ .5
RELATED QUESTIONS
A manufacturer of salad dressings uses machines to dispense liquid ingredients into... (answered by CPhill)

A cylindrical chemical tank is 12 feet high and has a diameter of 45 feet. How many... (answered by Alan3354)

A chemical is poured into a tank the shape of a cone with vertex down at the rate of 1/5... (answered by Alan3354)

A manufacturer of salad dressings uses machines to dispense liquid ingredients into... (answered by ikleyn)

The cylindrjcal storage tank has a height of 12 feet. If the tank holds 900 cuic feetof (answered by jim_thompson5910)

A rectangular tank 50 cm long, 40 cm wide and 35 cm high, contains 30 litres of liquid. (answered by ankor@dixie-net.com)

3. Initially a tank contains 10,000 liters of liquid. At the time t=0 minutes a tap is... (answered by Alan3354)

A druggist has two mixtures of a certain chemical and water, one containing 10% of the... (answered by Alan3354)