It is currently 20 Sep 2017, 20:28

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Working together at their respective rates, two hoses fill a pool in 2

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 41640

Kudos [?]: 124212 [0], given: 12075

Working together at their respective rates, two hoses fill a pool in 2 [#permalink]

Show Tags

New post 08 Aug 2017, 01:22
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:03) correct 19% (01:15) wrong based on 38 sessions

HideShow timer Statistics

Working together at their respective rates, two hoses fill a pool in 2 hours. If one of the hoses, working alone, could fill the pool in 3 hours, how long would it take the other hose to fill the pool alone?

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours
E. 6 hours
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 124212 [0], given: 12075

Director
Director
User avatar
P
Joined: 04 Dec 2015
Posts: 696

Kudos [?]: 263 [0], given: 261

Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: Working together at their respective rates, two hoses fill a pool in 2 [#permalink]

Show Tags

New post 08 Aug 2017, 01:35
Bunuel wrote:
Working together at their respective rates, two hoses fill a pool in 2 hours. If one of the hoses, working alone, could fill the pool in 3 hours, how long would it take the other hose to fill the pool alone?

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours
E. 6 hours


Let the hoses be \(A\) and \(B\).

Given \(A\) and \(B\) hoses together can fill a pool in \(2\) hours.

Therefore \(1\) hour work of \(A\) and \(B\) together is equal to.

\(\frac{1}{A} + \frac{1}{B} = \frac{1}{2}\)

Given \(A\) could fill the pool in \(3\) hours alone.

Therefore, \(A = 3\) hours

\(\frac{1}{3} + \frac{1}{B} = \frac{1}{2}\)

\(\frac{1}{B} = \frac{1}{2} - \frac{1}{3} = \frac{3-2}{6} = \frac{1}{6}\)

\(B = 6\) hours

Therefore \(B\) can fill the pool alone in \(6\) hours.

Answer (E)...

Kudos [?]: 263 [0], given: 261

Director
Director
User avatar
G
Joined: 18 Aug 2016
Posts: 502

Kudos [?]: 126 [0], given: 120

GMAT 1: 630 Q47 V29
GMAT ToolKit User Premium Member Reviews Badge
Re: Working together at their respective rates, two hoses fill a pool in 2 [#permalink]

Show Tags

New post 08 Aug 2017, 01:37
Bunuel wrote:
Working together at their respective rates, two hoses fill a pool in 2 hours. If one of the hoses, working alone, could fill the pool in 3 hours, how long would it take the other hose to fill the pool alone?

A. 2 hours
B. 3 hours
C. 4 hours
D. 5 hours
E. 6 hours


Pool is 6 units
Hose A + Hose B = 3 units/hr
Hose A = 2 units/hr

Hose B = 1 unit/hr
Time = 6/1 = 6 hrs
E
_________________

We must try to achieve the best within us

(Please like the below page on FB)

https://www.facebook.com/DeclutterCamp

Kudos [?]: 126 [0], given: 120

Re: Working together at their respective rates, two hoses fill a pool in 2   [#permalink] 08 Aug 2017, 01:37
    Similar topics Author Replies Last post
Similar
Topics:
9 EXPERTS_POSTS_IN_THIS_TOPIC Two hoses are pouring water into an empty pool. Hose 1 alone would fil Bunuel 10 21 Mar 2017, 03:18
2 An empty swimming pool is being filled by a hose that runs at 3 cubic HKD1710 3 11 Mar 2017, 22:25
2 EXPERTS_POSTS_IN_THIS_TOPIC Working together at their respective constant rates, Machine A and Mac Bunuel 5 21 Jul 2016, 09:08
21 EXPERTS_POSTS_IN_THIS_TOPIC There are three different hoses used to fill a pool: hose emmak 11 08 Dec 2016, 13:06
1 EXPERTS_POSTS_IN_THIS_TOPIC Three hoses work to fill a tub at at different rate. Hose A and B HunterJ 3 03 Nov 2015, 04:03
Display posts from previous: Sort by

Working together at their respective rates, two hoses fill a pool in 2

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.