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

Question

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

A. 4 minutes

B. 32/7 minutes

C. 192/7 minutes

D. 224/7 minutes

E. 28 minutes

Bunuel · Accepted Answer

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.

Bunuel · Answer

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?

GyanOne · Answer

Time taken for the tank to overflow = 32/(7+1) = 4 minutes

Option (A)

PareshGmat · Answer

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

Can you kindly elaborate as to why 6/32 + 1/32 was done?

TamunaP · Answer

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.

PerfectScores · Answer

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

JeffTargetTestPrep · Answer

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

hellosanthosh2k2 · Answer

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)

Mco100 · Answer

6 times faster should be 6*1/32?

Hero8888 · Answer

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: https://www.eng-tips.com/viewthread.cfm?qid=210222 https://news.ycombinator.com/item?id=11203745

Hero8888 · Answer

Do you really think that 32/7<32/8? 4.5 minutes to fill and 4 minutes to overflow

akadiyan · Answer

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

GMATGuruNY · Answer

Let the tank = 32 gallons, implying that the rate for Pipe A  = \frac{work}{time} = \frac{32-gallons}{32-minutes} =  1 gallon per minute.
Since Pipe B is 6 times faster, the rate for Pipe B = 1 + 6*1 = 7 gallons per minute.
Combined rate for the two pipes = 1+7 = 8 gallons per minute.
Time for both pipes together to fill the 32-gallon tank  = \frac{work}{combined-rate} = \frac{32}{8} = 4  minutes.

A

AdityaVerma21 · Answer

So this tests verbal instead of quant?

bumpbot · Answer

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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

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