Question

A bathtub is filling with water at the rate of 72inch^3/second. The density of water is 0.58 ounce/inch^3 how long will it take for the tub to fill with 11,000 ounce of water

Answer 1

The time it takes for the tub to fill with 11,000 ounces of water = 263.41 seconds.

Step-by-step explanation

What is given:

The rate of filling the bathtub with water = 72 inch³/second

The density of water = 0.58 ounce/inch³

What to find:

The time it will take for the tub to be filled with 11,000 ounces of water.

Step-by-step solution:

First, calculate the level of water in 'inch'.

Given that the density of water = 0.58 ounce/inch³

It implies 0.58 ounce of water fills the tub = 1 inch

So, 11000 ounces of water fill the tub =

`\frac{1\text{ }inch}{0.58\text{ }ounce}*11000\text{ }ounce=18965.52\text{ }inch`

Now the time taken for the tub to be filled with 11,000 ounces of water is calculated below:

As 72 inches is filled with water in 1 second

So, 18965.52 inches is filled with water in:

`\frac{1\text{ }seconds}{72\text{ }inches}*18965.52\text{ }inches=263.41\text{ }seconds`

Therefore, the time taken for the tub to fill with 11000 ounces of water is 263.41 seconds.