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?

40 minutes

Step-by-step 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

y + 11 = (1/4)(x + 16)

step-by-step explanation:

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1