Help with Pipe Flow: Tank Filling Proportion in 3 Hours

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Homework Help Overview

The problem involves a storage tank being filled by an inflow pipe while simultaneously being emptied by an outflow pipe. The original poster seeks to determine the proportion of the tank that remains full after a duration of 3 hours, given the filling and emptying rates of the pipes.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the rates of fluid flow into and out of the tank, questioning how to express these rates in terms of tankfuls per hour. There is also a consideration of whether the tank is filling and emptying simultaneously and the implications of that scenario.

Discussion Status

Some participants have provided calculations related to the rates of inflow and outflow, while others express confusion regarding the clarity of the problem setup. There is an exploration of the net rate of inflow and its impact on the tank's fullness over the specified duration.

Contextual Notes

Participants are working with the assumption that the tank starts full and are considering the implications of simultaneous filling and emptying. There may be a lack of clarity in the problem statement that affects the discussion.

allaputa
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A storage tank is replenished by an inflow pipe which can fill it in 8 hours.If the tank is initially full and the outflow pipe can empty it in 12 hours,what proportion of the tank is full after 3 hours duration?
 
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What's the rate at which fluid flows into the tank? Out of the tank? (Express both rates in units of Tankfulls per hour.) What's the net rate of inflow?
 
Doc not really clear about it
 
One pipe flows into the tank at a rate of 1 tank per 8 hours. Express this in Tanks/hour.
 
Is it emptying and filling at the same time? In this case the tank would be OVERFLOWING
1/8 - 1/12 = 1/24 of the whole tank volume every hour.
 

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