A rectangular parallelepiped-shaped container has a length of 80 cm and a width of 30 cm. 40 identical faucets fill the empty container with water to a depth of 2 m in 1 hour and 40 minutes. How many liters of water does one faucet pump out in 1 second?

1. Problem Description

A rectangular parallelepiped-shaped container has a length of 80 cm and a width of 30 cm. 40 identical faucets fill the empty container with water to a depth of 2 m in 1 hour and 40 minutes. How many liters of water does one faucet pump out in 1 second?

2. Solution Steps

First, convert all measurements to the same units (liters and seconds).

Convert length, width, and height (depth) to meters:

Length = 80 cm = 0.8 m

Width = 30 cm = 0.3 m

Height (depth) = 2 m

Calculate the volume of water in the container in cubic meters:

$Volume = Length * Width * Height$

$Volume = 0.8 m * 0.3 m * 2 m = 0.48 m^3$

Convert cubic meters to liters:

$1 m^3 = 1000 liters$

$Volume = 0.48 m^3 * 1000 liters/m^3 = 480 liters$

Convert the time to seconds:

1 hour 40 minutes = 1 * 60 minutes + 40 minutes = 100 minutes

100 minutes = 100 * 60 seconds = 6000 seconds

The 40 faucets pumped 480 liters in 6000 seconds. Therefore, one faucet pumped:

$Water\ per\ faucet = 480 liters / 40 faucets = 12 liters$

The 12 liters were pumped in 6000 seconds.

$Water\ per\ faucet\ per\ second = 12 liters / 6000 seconds = 0.002 liters/second$

3. Final Answer

One faucet pumps 0.002 liters of water in 1 second.