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Two tanks, I and II have capacities in the ratio 3:4 respectively. A p
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24 Apr 2023, 05:22
24 Apr 2023, 05:22
Expert Reply
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Question Stats:
93% (01:28) correct
6% (00:42) wrong based on 15 sessions
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Two tanks, I and II have capacities in the ratio 3:4 respectively. A pipe fills Tank I in 5 hours at constant rate. How many hours will it take for the same pipe to fill Tank II if the rate at which the pipe fills the tank is doubled?
A. 2
B. 2 1/3
C. 3 1/3
D. 5 2/3
E. 6
A. 2
B. 2 1/3
C. 3 1/3
D. 5 2/3
E. 6
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1053
GPA: 3.39
Re: Two tanks, I and II have capacities in the ratio 3:4 respectively. A p
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03 May 2023, 08:55
03 May 2023, 08:55
1
Expert Reply
Let the capacity of Tank I be 3x and the capacity of Tank II be 4x. Since the pipe fills Tank I in 5 hours at a constant rate, the amount of water filled in one hour is 3x/5.
If the rate at which the pipe fills the tank is doubled, the amount of water filled in one hour becomes 2*(3x/5) = 6x/5.
To fill Tank II, the amount of water required is 4x. Using the formula:
time = (quantity of work) / (rate of work)
The time required to fill Tank II becomes:
time = (4x) / (6x/5) = 20/6 = 10/3 = 3 1/3 hours
Therefore, the answer is (C) 3 1/3 hours.
If the rate at which the pipe fills the tank is doubled, the amount of water filled in one hour becomes 2*(3x/5) = 6x/5.
To fill Tank II, the amount of water required is 4x. Using the formula:
time = (quantity of work) / (rate of work)
The time required to fill Tank II becomes:
time = (4x) / (6x/5) = 20/6 = 10/3 = 3 1/3 hours
Therefore, the answer is (C) 3 1/3 hours.
gmatclubot
Re: Two tanks, I and II have capacities in the ratio 3:4 respectively. A p [#permalink]
03 May 2023, 08:55
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