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Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa

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Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?

A. 4 minutes

B. 32/7 minutes

C. 192/7 minutes

D. 224/7 minutes

E. 28 minutes
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Apr 2014, 07:42, edited 1 time in total.
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 08 Apr 2014, 07:56
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Safal wrote:
Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?

A. 4 minutes

B. 32/7 minutes

C. 192/7 minutes

D. 224/7 minutes

E. 28 minutes


Pipe A can fill a tank in 32 minutes --> the rate of A = 1/32 tank/minute;
Pipe B can fill the same tank 6 times faster than pipe A --> the rate of B = 1/32 + 6/32 = 7/32 tank/minute.

Their combined rate = 1/32 + 7/32 = 1/4 tank/minute;

Therefore, A and B can fill the tank in 4 minutes.

Answer: A.

P.S. Please name the topics properly. Check rule 3 here: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
P.P.S Is this really a Veritas Prep question?


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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 08 Apr 2014, 11:15
Time taken for the tank to overflow = 32/(7+1) = 4 minutes
[If pipe B can fill the tank 6 times faster than pipe A, it will fill the tank 7 times faster than pipe A]

Option (A)
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 08 Apr 2014, 20:10
Bunuel wrote:
Safal wrote:
Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?

A. 4 minutes

B. 32/7 minutes

C. 192/7 minutes

D. 224/7 minutes

E. 28 minutes


Pipe A can fill a tank in 32 minutes --> the rate of A = 1/32 tank/minute;
Pipe B can fill the same tank 6 times faster than pipe A --> the rate of B = 1/32 + 6/32 = 7/32 tank/minute.

Their combined rate = 1/32 + 7/32 = 1/4 tank/minute;

Therefore, A and B can fill the tank in 4 minutes.

Answer: A.

P.S. Please name the topics properly. Check rule 3 here: rules-for-posting-please-read-this-before-posting-133935.html Thank you.
P.P.S Is this really a Veritas Prep question?




I got it wrong here; I considered time 32/6 & proceeded.

Can you kindly elaborate as to why 6/32 + 1/32 was done?
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 09 Apr 2014, 01:24
Maybe I am missing something but the answer seems wrong:
Pipe A can fill 1/32 of the tank in 1 minute. Pipe B is 6 times faster, which means that it can fill 6/32 of the tank in 1 minute. Therefore, the two pipes fill 7/32 of the tank in a minute. If they need X minutes to fill the tank together, x*7/32=1; x=32/7. The answer is B.
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 09 Apr 2014, 02:04
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TamunaP wrote:
Maybe I am missing something but the answer seems wrong:
Pipe A can fill 1/32 of the tank in 1 minute. Pipe B is 6 times faster, which means that it can fill 6/32 of the tank in 1 minute. Therefore, the two pipes fill 7/32 of the tank in a minute. If they need X minutes to fill the tank together, x*7/32=1; x=32/7. The answer is B.


There is subtle mathematical difference between "x is 6 times faster than y", which means x=y+6y=7y, and "x is 6 times as fast as y", which means x=6y.
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PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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Safal wrote:
Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?

A. 4 minutes

B. 32/7 minutes

C. 192/7 minutes

D. 224/7 minutes

E. 28 minutes


Let us say that the tank's capacity is 32 liters

Pipe A's rate = 1 liter per minute, Pipe B's rate = 6 liters per minute

Together their rate is 7 liters per minute

To fill 32 liters they will take 32/7 minutes to fill the tank and 32/8 for the tank to overflow
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 18 Apr 2017, 15:28
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Safal wrote:
Pipe A can fill a tank in 32 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?

A. 4 minutes

B. 32/7 minutes

C. 192/7 minutes

D. 224/7 minutes

E. 28 minutes


We are given that pipe A can fill a tank in 32 minutes and pipe B can fill the same tank 6 times faster than pipe A. That means pipe B can fill the tank 7 times as fast as pipe A.

Thus, the rate of pipe A is 1/32 and the rate of pipe B is 7/32. We can let t = the number of minutes the pipes work together and create the following equation to determine t:

work of pipe A + work of pipe B = 1

(1/32)t + (7/32)t = 1

8t/32 = 1

t/4 = 1

t = 4

Answer: A
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa   [#permalink] 18 Apr 2017, 15:28
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