Question

A pump Removes 30 gallons of water per minute is pumping water from a cellar 30 x 50 feet covered with eight inches of water. One cubic foot of water equals 7.5 gallons of water. The number of minutes it will take to remove the eight inches of water from the cellar is, most nearly, _______.

a) 200
b) 225
c) 250
d) 275

Answer 1

It will take approximately 250 minutes to remove the eight inches of water from the cellar. Hence the correct answer is option C

Step-by-step explanation:

To find the number of minutes it will take to remove the eight inches of water from the cellar, we need to calculate the volume of water in the cellar and divide it by the rate at which the pump removes water.

The cellar dimensions are given as 30 x 50 feet, so the area is (30 ft * 50 ft) = 1500 square feet. Multiplying the area by the depth of water (8 inches) gives us the volume in cubic feet: 1500 sq ft * (8/12) ft = 1000 cubic feet.

Since 1 cubic foot of water equals 7.5 gallons, the total volume of water is 1000 cubic ft * 7.5 gal = 7500 gallons.

Since the pump removes 30 gallons per minute, it will take 7500 gallons / 30 gallons per minute = 250 minutes to remove the eight inches of water from the cellar.

Hence the correct answer is option C