Question

if a fire truck is pumping water at a rate of 200 L/min, how long will it take to put out a fire in a room with a floor area of 140m squared

Answer 1

To extinguish a fire in a 140 square meter room with a fire truck pumping water at 200 liters per minute, it will take approximately 70 minutes.

To calculate how long it will take to put out a fire in a room with a floor area of 140 square meters (1,507 square feet) if a fire truck is pumping water at a rate of 200 liters per minute (52.8 gallons per minute), we need to determine the volume of water required to extinguish the fire and then divide that volume by the pumping rate.

Determining the volume of water required:

1. Assume a depth of water: Let's assume a depth of 10 centimeters (3.9 inches) is sufficient to extinguish the fire.

2. Calculate the volume: The volume of water can be calculated by multiplying the floor area by the depth of water.

Volume of water = Floor area × Depth

Volume of water = 140 m² × 0.1 m = 14 m³

3. Convert m³ to liters:

Since 1 cubic meter is equal to 1000 liters, we can convert the volume to liters. Volume of water = 14 m³ × 1000 L/m³ = 14,000 L

Calculating the time required to extinguish the fire:

1. Divide the volume of water by the pumping rate:

Time = Volume of water / Pumping rate

Time = 14,000 L / 200 L/min = 70 minutes

It will take approximately 70 minutes to extinguish a fire in a room with a floor area of 140 square meters using a fire truck pumping water at a rate of 200 liters per minute.

Complete question below:

Let's find how long will it take to put out a fire in a room with a floor area of 140m squared if a fire truck is pumping water at a rate of 200 L/min.

Answer 2

`1.09\ min`

Explanation:

step 1

Find the minimum volume of water needed to fight a room with a floor area of 140 m^2

see the attached table to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
`y/x=k` or
`y=kx`

Let

x ----> the floor area in square feet

y ---> minimum volume of water in liters

In this problem the relationship between the variables x and y represent a direct variation

Find the constant of proportionality k

Looking at the table

For x=25, y=39

`k=y/x` ---->
`k=(39)/(25)=1.56`

The equation is

`y=1.56x`

For x=140 m^2

substitute and solve for y

`y=1.56(140)`

`y=218.4\ L`

step 2

How long will it take to put out a fire in a room with a floor area of 140 m^2

we know that

The fire truck is pumping water at a rate of 200 L/min

The minimum volume of water needed is 218.4 L

so

Divide the minimum volume of water needed by the rate

`218.4/200= 1.092\ min`