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Three pumps, X, Y, and Z. removed water from a tank. Pump X removed 5
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02 Jun 2021, 08:56
02 Jun 2021, 08:56
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Question Stats:
75% (01:30) correct
24% (01:29) wrong based on 29 sessions
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Three pumps, X, Y, and Z. removed water from a tank. Pump X removed 550 gallons, pump Y removed 1,250 gallons, and pump Z removed 1/3 of the total number of gallons removed by the three pumps combined. How many gallons of water did pump Z remove from the tank?
(A) 450
(B) 600
(C) 900
(D) 1,800
(E) 2,700
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 450
(B) 600
(C) 900
(D) 1,800
(E) 2,700
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: Three pumps, X, Y, and Z. removed water from a tank. Pump X removed 5
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02 Jun 2021, 20:32
02 Jun 2021, 20:32
2
X = 550
Y = 1250
Total = \(x + y + z = 1800 + z\)
Z removed 1/3 of the total number of gallons removed by the three pumps combined
\(z = \frac{1800+z}{3}\)
\(z = 900\)
Answer C
Y = 1250
Total = \(x + y + z = 1800 + z\)
Z removed 1/3 of the total number of gallons removed by the three pumps combined
\(z = \frac{1800+z}{3}\)
\(z = 900\)
Answer C
Re: Three pumps, X, Y, and Z. removed water from a tank. Pump X removed 5
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16 Jul 2022, 12:41
16 Jul 2022, 12:41
1
Let the total volume of the tank = T
If Pump Z emptied one-third of the tank, then pumps A & B must have emptied two-thirds of the tank (as the total number of pumps is 3). Considering this, it can be deduced that:
2/3 of T = 550 (that pump A emptied) + 1250 (that Pump B emptied) = 1800
Hence, T = 2700
As pump Z emptied one-third of the total, therefore, it must have emptied 1/3 * 2700 = 900
If Pump Z emptied one-third of the tank, then pumps A & B must have emptied two-thirds of the tank (as the total number of pumps is 3). Considering this, it can be deduced that:
2/3 of T = 550 (that pump A emptied) + 1250 (that Pump B emptied) = 1800
Hence, T = 2700
As pump Z emptied one-third of the total, therefore, it must have emptied 1/3 * 2700 = 900
