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10 Jun 2025, 00:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
97% (01:06) correct
3%
(00:40)
wrong
based on 117
sessions
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A 500-gallon cistern is filled to half its capacity with water. At what rate, in gallons per minute, is the amount of water in the cistern increasing if both the inlet pipe and outlet pipe are open?
(1) The inlet pipe pumps water into the cistern at a rate of 7 gallons per 30 seconds.
(2) The outlet pipe pumps water out of the cistern at the rate of 12 gallons every 1 minute 30 seconds.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) The inlet pipe pumps water into the cistern at a rate of 7 gallons per 30 seconds.
(2) The outlet pipe pumps water out of the cistern at the rate of 12 gallons every 1 minute 30 seconds.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
10 Jun 2025, 10:32
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Bunuel
500 gallon cistern is filled to half the capacity = 250 gallons.
Both inlet and outlet pipe are open to fill the cistern.
Rate of gallons per minute ?
Statement 1:
(1) The inlet pipe pumps water into the cistern at a rate of 7 gallons per 30 seconds.
Inlet pipe fills the water at rate of 7 gallons per 30 seconds.
For 60 seconds, the water filling rate is 14 gallons per 60 seconds = 14 gallons / minute.
Hence, insufficient.
Statement 2:
(2) The outlet pipe pumps water out of the cistern at the rate of 12 gallons every 1 minute 30 seconds.
The outlet pipe pumps water out at the rate of 12 gallons every 90 seconds.
In 30 seconds = 4 gallons. Thus, in 60 seconds = 8 gallons = 8 gallons/ minute.
Hence, Insufficient
Combining both Statements, we get
Inlet pipe = 14 gallons / minute.
Outlet pipe = 8 gallons / minute.
Net rate = (14-8) gallons / minute = 6 gallons per minute.
Hence, Sufficient.
Option C
10 Jun 2025, 23:06
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A 500-gallon cistern is filled to half its capacity with water. At what rate, in gallons per minute, is the amount of water in the cistern increasing if both the inlet pipe and outlet pipe are open?
Capacity= 500 gallon
Rate of inlet-outlet
(1) The inlet pipe pumps water into the cistern at a rate of 7 gallons per 30 seconds.
A= 7 gallons per 30 seconds pr
14 gallons per min
No information about outlet pipe
Insufficient
(2) The outlet pipe pumps water out of the cistern at the rate of 12 gallons every 1 minute 30 seconds.
B= 12 gallon every 1.5 min or
8 gallon per min
No information about inlet pipe
Insufficient
(1)&(2) together
Inlet-Outlet= A-B= 14-8= 6 gallon per min
Sufficient
Answer: C
Capacity= 500 gallon
Rate of inlet-outlet
(1) The inlet pipe pumps water into the cistern at a rate of 7 gallons per 30 seconds.
A= 7 gallons per 30 seconds pr
14 gallons per min
No information about outlet pipe
Insufficient
(2) The outlet pipe pumps water out of the cistern at the rate of 12 gallons every 1 minute 30 seconds.
B= 12 gallon every 1.5 min or
8 gallon per min
No information about inlet pipe
Insufficient
(1)&(2) together
Inlet-Outlet= A-B= 14-8= 6 gallon per min
Sufficient
Answer: C
