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# A tank is being drained at a constant rate. If it takes 3 hours to dra

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Math Expert
Joined: 02 Sep 2009
Posts: 54493
A tank is being drained at a constant rate. If it takes 3 hours to dra  [#permalink]

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14 Apr 2019, 04:18
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Difficulty:

15% (low)

Question Stats:

90% (01:14) correct 10% (01:15) wrong based on 20 sessions

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A tank is being drained at a constant rate. If it takes 3 hours to drain 6/7 of its capacity, how much longer will it take to drain the tank completely?

(A) 1/2 hour
(B) 3/4 hour
(C) 1 hour
(D) 3/2 hours
(E) 2 hours

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A tank is being drained at a constant rate. If it takes 3 hours to dra  [#permalink]

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14 Apr 2019, 04:26
Bunuel wrote:
A tank is being drained at a constant rate. If it takes 3 hours to drain 6/7 of its capacity, how much longer will it take to drain the tank completely?

(A) 1/2 hour
(B) 3/4 hour
(C) 1 hour
(D) 3/2 hours
(E) 2 hours

Assume the capacity of the tank to be 70 units.

It is given that $$\frac{6}{7}$$th of the tank(60 units) is drained at 3 hours. Rate of draining is $$\frac{60}{3} = 20$$ units/hour.

Therefore, the remaining tank(10 units) will drain completely in $$\frac{10}{20}$$ or $$\frac{1}{2}$$ hour(Option A).
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Re: A tank is being drained at a constant rate. If it takes 3 hours to dra  [#permalink]

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14 Apr 2019, 04:47
Bunuel wrote:
A tank is being drained at a constant rate. If it takes 3 hours to drain 6/7 of its capacity, how much longer will it take to drain the tank completely?

(A) 1/2 hour
(B) 3/4 hour
(C) 1 hour
(D) 3/2 hours
(E) 2 hours

let tank total capacity = 14 ltrs
so 6/7 *14= 12 ltrs
in 3 hrs its rate = 4ltrs per hr
and for 14 litrs ; left with 1/7 capacity left viz ; 2 ltrs
so time it will take ; 2/4 ; 1/2 hrs more
IMO A
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Re: A tank is being drained at a constant rate. If it takes 3 hours to dra   [#permalink] 14 Apr 2019, 04:47
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