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06 Oct 2019, 21:19
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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88% (01:55) correct
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EMPOWERgmat PS Series:
Pack 2, Question 4
Three identical pumps, pumping at the same constant rate, can remove a total of 1,250 gallons of water from a tank in 1 hour. With X of these pumps, 15,000 gallons of water could be removed in 3 hours. What is the value of X?
A. 9
B. 12
C. 15
D. 18
E. 21
48 Hour Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 5 question PS Block 2 question pack will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win.
To be eligible, your explanation must be submitted within the 48 hour window after this post was created and should explain your reasoning why the answer you chose is correct
The OA and official explanation will be held until the 48 hour window has lapsed.
Pack 2, Question 4
Three identical pumps, pumping at the same constant rate, can remove a total of 1,250 gallons of water from a tank in 1 hour. With X of these pumps, 15,000 gallons of water could be removed in 3 hours. What is the value of X?
A. 9
B. 12
C. 15
D. 18
E. 21
48 Hour Window To Win An $85 EMPOWERgmat Tuition Credit (1 Month Free!)
Share your explanation! The GMAT Club member with the most verified Kudos in total on the 5 question PS Block 2 question pack will win an $85 EMPOWERgmat tuition credit, which will entitle the winner to a full month of complete access to the EMPOWERgmat system. Even if you're not sure about your answer or your rationale, share your explanation to help boost your learning and earn a chance to win.
To be eligible, your explanation must be submitted within the 48 hour window after this post was created and should explain your reasoning why the answer you chose is correct
The OA and official explanation will be held until the 48 hour window has lapsed.
07 Oct 2019, 01:02
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EMPOWERgmatRichC
3 pumps in 1 hour remove 1250 gallons
3 pumps in 3 hour remove 1250*3 gallons
So, 1 pump in 3 hour will remove \(\frac{1250*3}{3}\) or 1250 gallons
Now, 1250 gallons can be removed in 3 hrs by 1 pump..
so 1 gallon can be removed in 3 hrs by \(\frac{1}{1250}\) pump..
Thus, 15,000 gallons can be removed in 3 hrs by \(\frac{15,000}{1250}\) or 12 pumps..
So, \(X=12\)
B
10 Oct 2019, 21:34
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OFFICIAL EXPLANATION
Hi All,
We're told that 3 identical pumps, pumping at the same constant rate, can remove a total of 1,250 gallons of water from a tank in 1 hour. With X of these pumps, 15,000 gallons of water could be removed in 3 hours. We're asked for the value of X.
The information in this prompt is ratio-based (1 hour vs. 3 hours; 1,250 gallons vs. 15,000 gallons), so there are a number of different calculations that you can do to solve it. If you do not immediately see how to set up a ratio, then you can still get to the correct answer: you might not immediately recognize that 15,000 is a multiple of 1,250 - but with just a little work, you can prove it.
3 pumps --> 1,250 gallons removed in 1 hour
6 pumps --> 2,500 gallons removed in 1 hour
12 pumps --> 5,000 gallons removed in 1 hour
At this point, you might recognize that 5,000 divides into 15,000....
36 pumps --> 15,000 gallons removed in 1 hour
At this point, we know that we'll need 36 pump-hours worth of work to remove 15,000 gallons of water. Since we want to remove that water over the course of 3 hours, we just have to divide this number by 3 --> 36/3 = 12 machines.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Hi All,
We're told that 3 identical pumps, pumping at the same constant rate, can remove a total of 1,250 gallons of water from a tank in 1 hour. With X of these pumps, 15,000 gallons of water could be removed in 3 hours. We're asked for the value of X.
The information in this prompt is ratio-based (1 hour vs. 3 hours; 1,250 gallons vs. 15,000 gallons), so there are a number of different calculations that you can do to solve it. If you do not immediately see how to set up a ratio, then you can still get to the correct answer: you might not immediately recognize that 15,000 is a multiple of 1,250 - but with just a little work, you can prove it.
3 pumps --> 1,250 gallons removed in 1 hour
6 pumps --> 2,500 gallons removed in 1 hour
12 pumps --> 5,000 gallons removed in 1 hour
At this point, you might recognize that 5,000 divides into 15,000....
36 pumps --> 15,000 gallons removed in 1 hour
At this point, we know that we'll need 36 pump-hours worth of work to remove 15,000 gallons of water. Since we want to remove that water over the course of 3 hours, we just have to divide this number by 3 --> 36/3 = 12 machines.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
