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29 Aug 2025, 05:06
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Difficulty:
15%
(low)
Question Stats:
90% (02:38) correct
9% (01:38) wrong based on 11 sessions
History
Date
Time
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At 12:00, noon, a pool is 3/25 full. It is being filled at a constant rate of 2 gallons per minute. At 2:30 PM, the pool is 28% full. How many gallons does the full pool hold?
A. 1,875
B. 1,925
C. 1,975
D. 2,025
E. 2,075
A. 1,875
B. 1,925
C. 1,975
D. 2,025
E. 2,075
30 Aug 2025, 09:01
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Official Explanation
First, change to a percent by setting it equal to Multiply the top and bottom of the left fraction by 4, to get \(x = 12,\) i.e., 12%, which can also be obtained by cross-multiplying or by simply typing 3 ÷ 25 on the calculator and converting .12 to 12%. Then the pool went from 12% full at 12:00 to 28% full at 2:30. The increase is 28% - 12% = 16% of the pool’s full volume in 2.5 hours.
During this time, the pool was filled at a rate of 2 gallons per minute. We must convert 2.5 hours into 2.5 × 60 = 150 minutes, in order to find that gallons. This means that 300 gallons were added and that 300 gallons represents 16% of the pool’s total volume, say T. Then 300 = .16 T. Divide both sides by .16, and T equals 300 ÷ .16 = 1875, (A).
Answer: A
First, change to a percent by setting it equal to Multiply the top and bottom of the left fraction by 4, to get \(x = 12,\) i.e., 12%, which can also be obtained by cross-multiplying or by simply typing 3 ÷ 25 on the calculator and converting .12 to 12%. Then the pool went from 12% full at 12:00 to 28% full at 2:30. The increase is 28% - 12% = 16% of the pool’s full volume in 2.5 hours.
During this time, the pool was filled at a rate of 2 gallons per minute. We must convert 2.5 hours into 2.5 × 60 = 150 minutes, in order to find that gallons. This means that 300 gallons were added and that 300 gallons represents 16% of the pool’s total volume, say T. Then 300 = .16 T. Divide both sides by .16, and T equals 300 ÷ .16 = 1875, (A).
Answer: A
