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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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New post Updated on: 08 Apr 2014, 08:42
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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

Originally posted by Safal on 08 Apr 2014, 08:30.
Last edited by Bunuel on 08 Apr 2014, 08:42, edited 1 time in total.
RENAMED THE TOPIC.
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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, 08:56
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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, 12:15
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, 21:10
1
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, 02:24
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, 03:04
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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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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, 03:15
1
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, 16:28
1
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]

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New post 25 Feb 2018, 04:22
Good learning and alarming question to watch out for specific words in the question.
Rate of Pipe A = A
Pipe B is 6 times faster than Pipe A=> 6A + A = 7A (actual question)
Pipe B is 6 times as fast as Pipe A=> 6A

Answer (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 26 Apr 2018, 21:31
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: http://gmatclub.com/forum/rules-for-pos ... 33935.html Thank you.
P.P.S Is this really a Veritas Prep question?




6 times faster should be 6*1/32?
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Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 27 Apr 2018, 10:19
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: http://gmatclub.com/forum/rules-for-pos ... 33935.html Thank you.
P.P.S Is this really a Veritas Prep question?



Here is one of your problem, in which 3 times faster than x means 3x, but not x +3x = 4x. What is the difference? Thanks.
https://gmatclub.com/forum/bea-can-pain ... 57696.html

Here is another problem with pipe rates in which you assume that 1.25 faster than x means 1.25 x but not x + 1.25x
https://gmatclub.com/forum/one-pipe-can ... 66685.html

My opinion: 6 times faster means 500% faster = 6x. You, guys, mixed up with 6 times greater, which is indeed + 600%.
Here are some links on other forums:

http://www.eng-tips.com/viewthread.cfm?qid=210222
https://news.ycombinator.com/item?id=11203745
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Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa [#permalink]

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New post 27 Apr 2018, 10:52
PerfectScores 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


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


Do you really think that 32/7<32/8? 4.5 minutes to fill and 4 minutes 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 28 Apr 2018, 07:56
Pipe A - Work rate = 32 Minutes = 1/32
Pipe B - Work rate = 6 times faster than A = 1/7

Combined rate of A + B = 1/32 + 7/32

(7/32) N + (1/32) N = 8/32 N = 1
N = 4

Ans: A
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Re: Pipe A can fill a tank in 32 minutes. Pipe B can fill the sa   [#permalink] 28 Apr 2018, 07:56
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