Question

A pipe fills a tank in 12 hours. The portion of tank filled in 9 hours is​

Answer 1

`\sf \textsf{ Portion of tank} = (3)/(4)`.

Explanation:

If a pipe can fill a tank in 12 hours, the rate of filling is given by the ratio of the volume of the tank to the time it takes to fill it. Let's denote the rate of filling as
`\sf R` and the time it takes to fill the tank as
`\sf T`.

The formula for the rate of filling is
`\sf R = \frac{\textsf{Volume}}{\textsf{Time}}`.

In this case,
`\sf T = 12` hours. Therefore, the rate of filling is
`\sf R = (1)/(12)` tanks per hour.

To find the portion of the tank filled in 9 hours, we multiply the rate by the time:

`\sf \textsf{Portion filled} = R * \textsf{Time}`

`\sf \textsf{Portion filled} = (1)/(12) * 9`

`\sf \textsf{Portion filled} = (9)/(12)`

Simplify the fraction:

`\sf \textsf{Portion filled} = (3)/(4)`

So, the portion of the tank filled in 9 hours is
`\sf (3)/(4)`.