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A tank is fitted with two taps A and B. The tank can be filled by open

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Joined: 18 Jul 2019
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A tank is fitted with two taps A and B. The tank can be filled by open  [#permalink]

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New post 25 Nov 2019, 02:05
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A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

56% (01:53) correct 44% (02:33) wrong based on 16 sessions

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A tank is fitted with two taps A and B. The tank can be filled by opening A for two hours and B for nine hours or alternately by opening A for three hours and B for six hours. If the tank has to be filled using only A, how many hours will it take?

(A) 4
(B) 5
(C) 12
(D) 15
(E) 17
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Joined: 28 Feb 2014
Posts: 202
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Concentration: General Management, International Business
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Re: A tank is fitted with two taps A and B. The tank can be filled by open  [#permalink]

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New post 25 Nov 2019, 02:24
CaptainLevi wrote:
A tank is fitted with two taps A and B. The tank can be filled by opening A for two hours and B for nine hours or alternately by opening A for three hours and B for six hours. If the tank has to be filled using only A, how many hours will it take?

(A) 4
(B) 5
(C) 12
(D) 15
(E) 17

Using RT=W
2Ra + 9Rb = 1 ------(i)
3Ra + 6Rb = 1 ------(ii)

Solving for Ra = 1/5

B is correct
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Re: A tank is fitted with two taps A and B. The tank can be filled by open  [#permalink]

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New post 25 Nov 2019, 02:39
CaptainLevi wrote:
A tank is fitted with two taps A and B. The tank can be filled by opening A for two hours and B for nine hours or alternately by opening A for three hours and B for six hours. If the tank has to be filled using only A, how many hours will it take?

(A) 4
(B) 5
(C) 12
(D) 15
(E) 17


By comparing both equations mentioned in question: Time relation - 1 hr of Tank A = 3 hr of Tank B
So, we need to increase 2 hours of Tank A to have the same work of 6 hours of Tank B. To conclude - 3hr+2hr - 5 hrs (Option B)
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Re: A tank is fitted with two taps A and B. The tank can be filled by open   [#permalink] 25 Nov 2019, 02:39
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