215k views
3 votes
A pipe fills a barrel with vinegar in 20 minutes. A release valve on the barrel, used for drainage, can empty the barrel in 40 minutes. A new employee mistakenly left the drainage valve open as he turned on the pipe to fill a barrel. How long will it take to fill the barrel if the pipe is filling at the same time the valve is emptying?

User Ender
by
7.3k points

1 Answer

5 votes

Answer:

40 minutes

Explanation:

We have a load and a discharge, given by a speed that would be a barrel / minute.

Which means that the loading rate is: 1/20

And the discharge rate: 1/40

Since they are contrary, the result would be the subtraction between these two rates:

1/20 - 1/40 = 1 / x

1 / x = 0.025

x = 1 / 0.025

x = 40

Which means it will take 40 minutes to fill under the mentioned conditions

User Vbakke
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories