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There are two water tanks A and B. Tank A originally contains 100 lite

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Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42
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There are two water tanks A and B. Tank A originally contains 100 lite  [#permalink]

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New post 08 Aug 2019, 00:27
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A
B
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Difficulty:

  15% (low)

Question Stats:

82% (01:31) correct 18% (02:08) wrong based on 38 sessions

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[GMAT math practice question]

There are two water tanks \(A\) and \(B\). Tank \(A\) originally contains \(100\) liters of water and Tank \(B\) originally contains \(20\) liters of water. \(5\) liters of water is poured out of tank \(A\) every minute and, at the same time, \(3\) liters of water is poured into tank \(B\) every minute. How long will it take for the tanks to contain the same volume of water?

\(A. 10 min\)

\(B. 12 min\)

\(C. 15 min\)

\(D. 20 min\)

\(E. 22 min\)

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There are two water tanks A and B. Tank A originally contains 100 lite  [#permalink]

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New post 08 Aug 2019, 01:29
1
Difference in the volume of water of tank A and tank B= 100-20=80

Relative increase in the volume of B per minute with respect to A= 3+5=8

Time taken for the tanks to contain the same volume of water= 80/8=10 min

MathRevolution wrote:
[GMAT math practice question]

There are two water tanks \(A\) and \(B\). Tank \(A\) originally contains \(100\) liters of water and Tank \(B\) originally contains \(20\) liters of water. \(5\) liters of water is poured out of tank \(A\) every minute and, at the same time, \(3\) liters of water is poured into tank \(B\) every minute. How long will it take for the tanks to contain the same volume of water?

\(A. 10 min\)

\(B. 12 min\)

\(C. 15 min\)

\(D. 20 min\)

\(E. 22 min\)
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There are two water tanks A and B. Tank A originally contains 100 lite  [#permalink]

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New post 08 Aug 2019, 01:36
MathRevolution wrote:
[GMAT math practice question]

There are two water tanks \(A\) and \(B\). Tank \(A\) originally contains \(100\) liters of water and Tank \(B\) originally contains \(20\) liters of water. \(5\) liters of water is poured out of tank \(A\) every minute and, at the same time, \(3\) liters of water is poured into tank \(B\) every minute. How long will it take for the tanks to contain the same volume of water?

\(A. 10 min\)

\(B. 12 min\)

\(C. 15 min\)

\(D. 20 min\)

\(E. 22 min\)

A
100l
-5l/min

B
20l
+3l/min

100-(5/t) = 20+(3/t)
t = 10min
Math Revolution GMAT Instructor
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Joined: 16 Aug 2015
Posts: 7768
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: There are two water tanks A and B. Tank A originally contains 100 lite  [#permalink]

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New post 12 Aug 2019, 01:06
=>

The amount of water in the tank \(A\) after m minutes is \(100 – 5m\) and the amount of water in the tank \(B\) after m minutes is \(20 + 3m.\)

Equating these volumes yields \(100 – 5m = 20 + 3m,\) or \(8m = 80.\)

Thus, \(m = 10.\)

Therefore, A is the answer.
Answer: A
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Re: There are two water tanks A and B. Tank A originally contains 100 lite   [#permalink] 12 Aug 2019, 01:06
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