# leaking

1. ### Rates of Change and Differential Equations: Filling and Leaking Water Tank

Problem Statement: A 50 gallon tank initially contains 20 gallons of pure water. Salt water solution containing .5lb./gallon is poured in at the rate of 4 gallons/minute. At the same time, a drain at the bottom allows the well mixed salt solution to exit at 2 gallons/minute. How many pounds of...
2. ### Tub Leaking Problem

This is a question from my ODE class so I assume it's ok to post here the problem is A 200 gallon tank, initially full of water, develops a leak at the bottom. Given that 20% of the water leaks out in the ﬁrst 4 minutes, ﬁnd the amount of water left in the tank t minutes after the leak develops...
3. ### Word problem involving the weather and a leaking barrel

The question states During a rain weather, a barrel with the height of 90cm is filled to the top. When it stops to rain the barrel starts to leak so that the waterlevel is declining proportional to the squareroot of the water depth. How long time does it take for the barrel to be empty of it...
4. ### rate of growth of a leaking oil tank

A gas tank on a dock has a small puncture and is leaking gas at the rate of 1cm^3/min into a lake. It forms a circular slick that is 1mm thick on the surface of the water. so as a function of time the amount of gas leaked is V=1cm^3 * m but i also have to state the radius as a function of...
5. ### Work: Leaking flour

As a flour sack is being raised a distance of 9 feet, flour leaks out at such rate that the number of pounds lost is directly proportional to the square root of the distance traveled. If the sack originally contained 60 lb of flour and it loses a total of 12 lb while being raised the 9ft, find...