SOLUTION: A steel container is shaped like a cube 10 feet on each side. This container is being filled with water at a rate of 7 cubic feet per minute. At the same time, water is leaking fro

Question 1057440: A steel container is shaped like a cube 10 feet on each side. This container is being filled with water at a rate of 7 cubic feet per minute. At the same time, water is leaking from the bottom of the container at a rate of 2 cubic feet per minute. If the container is exactly half- filled at 9:00 a.m., at what time will the con- tainer begin to overflow?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A steel container is shaped like a cube 10 feet on each side.
This container is being filled with water at a rate of 7 cubic feet per minute.
At the same time, water is leaking from the bottom of the container at a rate of 2 cubic feet per minute.
If the container is exactly half-filled at 9:00 a.m., at what time will the container begin to overflow?
:
Find the volume of the container
10^3 = 1000 cu/ft
Half full = 500 cu/ft, another 500 cu/ft required to fill it to the top
let t = time in minutes to make this happen
7t - 2t = 500
5t = 500
t = 500/5
t = 100 minutes which is 1 hr 40 minute
9:00 + 1:40 = 10:40, it will begin to overflow

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