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olga nikolaevna
3 months ago
15

You need to pump water out of a flooded basement, using two 50 - gallon-per minute (gpm) pumps. The basement has the dimensions

shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?​

Mathematics
2 answers:
babunello [11.8K]3 months ago
8 0

Answer:

"When both pumps operate simultaneously, they can extract water at a pace of 100 gallons every minute. To calculate the time required to entirely empty the basement, we first need to find the total volume of water present. The basement is 40 feet long and 50 feet wide, with the water level being 16 inches deep as stated. We can figure out the volume using this formula:"

V = length x width x depth

length = 50 feet

width = 40 feet

depth = 16 inches ( 1 foot / 12 inches ) = 1.33 feet

V = 50 x 40 x 1.33 = 2666.67 ft^3 = 19948.05 gal

Time = V / rate

Time = 19948.05 gal / 100 gal / min

Time = 199.48 min

Inessa [12.5K]3 months ago
8 0

"When both pumps are utilized simultaneously, they will remove water at a speed of 100 gallons per minute. To ascertain the duration required to fully evacuate the water from the basement, we first need to find out the water's volume. The basement's measurements are 40 feet in width by 50 feet in length (as earlier mentioned), with the water's depth reported to be 16 inches. We can compute the volume with the following formula:"

V = length x width x depth

length = 50 feet

width = 40 feet

depth = 16 inches ( 1 foot / 12 inches ) = 1.33 feet

V = 50 x 40 x 1.33 = 2666.67 ft^3 = 19948.05 gal

Time = V / rate

Time = 19948.05 gal / 100 gal / min

Time = 199.48 min

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