GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2019, 16:54

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If the ratio of Rate of filling of two Pipes A and B is

Author Message
TAGS:

### Hide Tags

Intern
Joined: 13 Aug 2018
Posts: 36
If the ratio of Rate of filling of two Pipes A and B is  [#permalink]

### Show Tags

Updated on: 23 Oct 2018, 06:16
1
00:00

Difficulty:

45% (medium)

Question Stats:

65% (02:41) correct 35% (02:00) wrong based on 69 sessions

### HideShow timer Statistics

If the ratio of Rate of filling of two Pipes A and B is
3:2. They can fill 5/6th of a Tank together in 20 minutes. How many minutes will A alone take to fill the Tank?

(A) 25
(B) 32
(C) 40
(D) 48
(E) 60

Posted from my mobile device

Originally posted by jackfr2 on 23 Oct 2018, 05:53.
Last edited by chetan2u on 23 Oct 2018, 06:16, edited 1 time in total.
Formatted question
Math Expert
Joined: 02 Aug 2009
Posts: 8004
Re: If the ratio of Rate of filling of two Pipes A and B is  [#permalink]

### Show Tags

23 Oct 2018, 06:20
1
jackfr2 wrote:
If the ratio of Rate of filling of two Pipes A and B is
3:2. They can fill 5/6th of a Tank together in 20 minutes. How many minutes will A alone take to fill the Tank?

(A) 25
(B) 32
(C) 40
(D) 48
(E) 60

Posted from my mobile device

Since the ratio is 3:2, the amount of work done is $$\frac{3}{(3+2)}:\frac{2}{(3+2)}$$..
So A does 3/5th of 5/6th work in 20 min or $$\frac{3}{5}$$*$$\frac{5}{6}$$*t=20.......t=2*20=40 min...

C
_________________
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4777
Location: India
GPA: 3.5
If the ratio of Rate of filling of two Pipes A and B is  [#permalink]

### Show Tags

23 Oct 2018, 06:37
jackfr2 wrote:
If the ratio of Rate of filling of two Pipes A and B is 3:2. They can fill 5/6th of a Tank together in 20 minutes. How many minutes will A alone take to fill the Tank?

(A) 25
(B) 32
(C) 40
(D) 48
(E) 60

Posted from my mobile device

ALTERNATE METHOD WITHOUT USE OF ANY VARIBALE

$$\frac{5}{6}^{th}$$ of the work is done in $$20$$ minutes.

Complete work is done in $$20*\frac{6}{5} = 24$$ Minutes

Further both A and B working at the job completes the task in 24 minutes...

So, Let the total work be $$24*(3+2) = 120$$ Units

Working alone A , completes the job in 120/3 = 40 Minutes, Answer must be (C)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3335
Location: India
GPA: 3.12
If the ratio of Rate of filling of two Pipes A and B is  [#permalink]

### Show Tags

23 Oct 2018, 12:53
jackfr2 wrote:
If the ratio of Rate of filling of two Pipes A and B is
3:2. They can fill 5/6th of a Tank together in 20 minutes. How many minutes will A alone take to fill the Tank?

(A) 25
(B) 32
(C) 40
(D) 48
(E) 60

Posted from my mobile device

Given: For every 3 units that Pipe A fills in a minute, Pipe B would fill 2 units.

Together in 20 minutes, they fill 20*(3+2) = 100 units capacity, which is $$\frac{5}{6}$$th of the tank.
Using this information, we can calculate the total capacity of the tank which is $$\frac{6}{5}*100 = 120$$ units.

Therefore, Pipe A will need $$\frac{120}{3} = 40$$ minutes(Option C) in order to fill the tank
_________________
You've got what it takes, but it will take everything you've got
Senior Manager
Joined: 18 Jun 2018
Posts: 262
Re: If the ratio of Rate of filling of two Pipes A and B is  [#permalink]

### Show Tags

29 Oct 2018, 11:18
jackfr2 wrote:
If the ratio of Rate of filling of two Pipes A and B is
3:2. They can fill 5/6th of a Tank together in 20 minutes. How many minutes will A alone take to fill the Tank?

(A) 25
(B) 32
(C) 40
(D) 48
(E) 60

Posted from my mobile device

OA:C

Let Rate of filling the tank by Pipe A: $$3x$$ Tank/Minute
Let Rate of filling the tank by Pipe B: $$2x$$ Tank/Minute

$$20( 3x+2x)=\frac{5}{6}$$

$$100x=\frac{5}{6}$$

$$x=\frac{5}{100*6}=\frac{1}{20*6}=\frac{1}{120}$$

Rate of filling the tank by Pipe A: $$3*\frac{1}{120}$$ Tank/Minute $$=\frac{1}{40}$$Tank/Minute

Time taken by A to fill $$1$$ tank $$= \frac{1 Tank}{\frac{1}{40}Tank/Minute}=40$$ Minutes
Re: If the ratio of Rate of filling of two Pipes A and B is   [#permalink] 29 Oct 2018, 11:18
Display posts from previous: Sort by