How Long Will It Take to Fill Archimedes' Bath Using All Three Taps?

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Homework Help Overview

The problem involves calculating the time it will take to fill Archimedes' bath using three taps with different flow rates. The original poster describes a scenario where the bath was previously filled using taps A, B, and C, and provides specific details about the flow rates and time taken during that process.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the flow rates of the taps and how they relate to the overall filling time. Some suggest considering the time taken by each tap individually to understand the overall process better.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding how to approach the calculations, but there is no explicit consensus on the solution yet.

Contextual Notes

There is an emphasis on the need for the original poster to present their understanding and attempts to solve the problem, as per forum guidelines. This context may influence the direction of the discussion.

Natasha1
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Could I please be explained this problem as I simply can't do it...

Archimedes has a bath which is filled using three taps labelled A, B and C.

The rates of flow of B is twice that of A, the rates of flow of C is three times that of A.

Yesterday, Archimedes filled his bath as follows:

Firstly he used all three taps for 2 hours. Then he turned off B and finished filling the bath in an additional 2 hours and 45 mins using taps A and C only (it's a very big bath).

Today Archimedes is going to fill his bath (currently empty) using all three taps.

How long will this take him?
 
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I see that you have 250+ posts so you certainly know by now that you should have posted that in the format of a homework problem and shown some attempt to solve it and where you are stuck. This way folks can see what you know / don't know and try to help you fill in the gap.

Just asking this forum to spoon-feed you a fully worked out answer is not appropriate here.
 
Thanks for your help phinds, much appreciated...
 
Natasha1 said:
Thanks for your help phinds, much appreciated...

I see you've noticed that sarcasm IS allowed :smile:
 
Natasha1 said:
Could I please be explained this problem as I simply can't do it...

Archimedes has a bath which is filled using three taps labelled A, B and C.

The rates of flow of B is twice that of A, the rates of flow of C is three times that of A.

Yesterday, Archimedes filled his bath as follows:

Firstly he used all three taps for 2 hours. Then he turned off B and finished filling the bath in an additional 2 hours and 45 mins using taps A and C only (it's a very big bath).

Today Archimedes is going to fill his bath (currently empty) using all three taps.

How long will this take him?

Have a think about how long "the first part" of the fill would have taken with only tap A. Then have a think about how long "the rest of the fill" would take using just tap A.

Once you know how long it would take using just tap A, it should be pretty easy to calculate how long it would take using all three taps together.
 

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