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- Sep 8th 2011, 02:20 PM #1

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## The bathtub-Problem

Hello!

I've encountered a difficult problem here and would like some help.

It would be great for my understanding If you could help me solve it with fractions.

**A bathtub is filled in 5 minutes and emptied in 10 minutes when the plug is pulled out. How much time will it take to fill the bathtub if you forget to insert the plug?**

- Sep 8th 2011, 02:43 PM #2

- Sep 8th 2011, 03:21 PM #3

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## Re: The bathtup-Problem

I'm not sure whether there is a specific answer for this question, here is a try:

If x is defined as the volume of the bathtub, then x/5 is the speed of water inflow per minute and x/10 is the speed of water outflow per minute. Then you have a net inflow rate of y=(x/5-x/10).

Hope this helps

- Sep 8th 2011, 03:25 PM #4

- Sep 8th 2011, 03:27 PM #5

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- Sep 8th 2011, 03:51 PM #6

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- Sep 8th 2011, 03:55 PM #7

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- Sep 8th 2011, 04:03 PM #8

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