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Answer :
Final answer:
To completely drain the water from the basement, calculate the volume of water and divide it by the combined pumping rate of the two pumps. The time it takes is approximately 157.5 minutes or 2.6 hours.
Explanation:
To calculate the time it takes to completely drain the water from the basement, we need to find the volume of water in the basement and then divide it by the combined pumping rate of the two pumps.
First, convert the depth of the water from inches to feet by dividing 18.0 inches by 12.0 inches/foot, which gives us 1.5 feet.
The volume of water in the basement is the length times the width times the depth, which is (42 feet) × (25 feet) × (1.5 feet) = 1575 cubic feet.
The combined pumping rate of the two pumps is 5.0 cubic feet/minute + 5.0 cubic feet/minute = 10 cubic feet/minute.
Finally, divide the volume of water by the pumping rate to find the time it takes to completely drain the water: 1575 cubic feet / 10 cubic feet/minute = 157.5 minutes.
Therefore, it would take approximately 157.5 minutes or 2.6 hours to completely drain the water from the basement.
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