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• ### Essential GMAT Time-Management Hacks

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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) # An outlet pipe empties a tank in 5 hours  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Senior Manager Status: Countdown Begins... Joined: 03 Jul 2016 Posts: 295 Location: India Concentration: Technology, Strategy Schools: IIMB GMAT 1: 580 Q48 V22 GPA: 3.7 WE: Information Technology (Consulting) An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 02 Apr 2017, 20:23 4 00:00 Difficulty: 95% (hard) Question Stats: 31% (02:25) correct 69% (01:58) wrong based on 155 sessions ### HideShow timer Statistics An outlet pipe empties a tank in 5 hours when the tank is 50% full. An inlet pipe, which lets water in at 1/3 liters per min, is opened when the tank was empty and it took 10 hours to fill the tank completely. Find the capacity of the tank. A. 10 liters. B. 100 liters. C. 1000 liters. D. 500 liters. E. 200 liters. Source: Self-made VP Joined: 07 Dec 2014 Posts: 1111 An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 02 Apr 2017, 22:38 2 RMD007 wrote: An outlet pipe empties a tank in 5 hours when the tank is 50% full. An inlet pipe, which lets water in at 1/3 liters per min, is opened when the tank was empty and it took 10 hours to fill the tank completely. Find the capacity of the tank. A. 10 liters. B. 100 liters. C. 1000 liters. D. 500 liters. E. 200 liters. Source: Self-made let c=tank capacity outlet pipe empties 1/10 of full tank per hour inlet pipe fills tank at rate of 20 liters per hour 10 hours*(20 liters-c/10)=c c=100 liters B Senior Manager Status: Countdown Begins... Joined: 03 Jul 2016 Posts: 295 Location: India Concentration: Technology, Strategy Schools: IIMB GMAT 1: 580 Q48 V22 GPA: 3.7 WE: Information Technology (Consulting) An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 02 Apr 2017, 22:51 1 3 An outlet pipe empties a tank in 5 hours when the tank is 50% full --> Means it takes 10 hours to empty the tank. In 1 hour, it empties $$\frac{C}{10}$$ liters. Inlet pipe rate is 1/3 liters per minute. ---> per hour $$\frac{1}{3}*60 = 20 liters/hour$$ In 10 hours water from inlet pipe is - 200 liters. Total water from inlet in 10 hours = Capacity of the tank + Water emptied from outlet in 10 hours $$200 = C + (\frac{C}{10})*10$$ $$2*C = 200$$ $$C = 100.$$ Choice B. Senior Manager Joined: 21 Aug 2016 Posts: 266 Location: India GPA: 3.9 WE: Information Technology (Computer Software) Re: An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 12 Apr 2017, 21:05 If we consider that both pipes are opened when tank get filled in 10 hours, the capacity of the tank will be 100 liters Senior Manager Joined: 03 Apr 2013 Posts: 278 Location: India Concentration: Marketing, Finance GMAT 1: 740 Q50 V41 GPA: 3 Re: An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 06 May 2017, 06:11 1 1 RMD007 wrote: An outlet pipe empties a tank in 5 hours when the tank is 50% full. An inlet pipe, which lets water in at 1/3 liters per min, is opened when the tank was empty and it took 10 hours to fill the tank completely. Find the capacity of the tank. A. 10 liters. B. 100 liters. C. 1000 liters. D. 500 liters. E. 200 liters. Source: Self-made In 10 hours, the outlet pipe must have done work of emptying a full tank(say capacity is c). But what happened is, in 10 hours, we have a full tank. Thus the inlet pipe must have, in ten hours, done the work of filling the tank twice(or in other words, work equal to 2c). Thus the capacity of the tank is half of what the inlet pipe can do in 10 hours. $$\frac{1}{2} * 10 * \frac{1}{3} * 60$$ Answer 100(C) _________________ Spread some love..Like = +1 Kudos Manager Joined: 14 May 2015 Posts: 52 Re: An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 06 May 2017, 08:12 outlet= 50% in 5 h so, 100% in 10 hr capacity=10x inlet=1/3 lit per min=1/3*60=20 lit per hr atq 20*10 - 10x=10x x=10 capacity= 10*10=100 ans: B EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 12852 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: An outlet pipe empties a tank in 5 hours [#permalink] ### Show Tags 22 Nov 2017, 19:18 1 Hi All, We're told that an outlet pipe empties a tank in 5 hours when the tank is 50% full and that an inlet pipe lets water in at 1/3 liters per min. We're told that the tank starts off empty and took 10 hours to fill the tank. We're asked for the capacity of the tank. Although the prompt does not state it, we're meant to assume that both pipes are 'working' at the same time. This question gives us two rates, but provides the information in different units. Thus, we have to 'modify' the given information a bit: Inlet Pipe = 1/3 liters/min = (60 mins)(1/3 liter/min) = 20 liters/hour Outlet Pipe = 5 hours to remove HALF the tank = (1/2 tank)/5 hours = 1/10 of the tank is emptied per hour Since it take 10 hours to fill the tank, we have... (20 liters)(10 hours) = 200 liters going IN (1/10 tank)(10 hours) = 1 "full tank" going OUT In algebraic terms, that would be: 200 - X = X X = 100 liters Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Intern
Joined: 07 Jun 2018
Posts: 20
Location: India
GPA: 3.9
WE: Marketing (Insurance)
Re: An outlet pipe empties a tank in 5 hours  [#permalink]

### Show Tags

06 Aug 2018, 23:32
RMD007 wrote:
An outlet pipe empties a tank in 5 hours when the tank is 50% full. An inlet pipe, which lets water in at 1/3 liters per min, is opened when the tank was empty and it took 10 hours to fill the tank completely.

Find the capacity of the tank.

A. 10 liters.

B. 100 liters.

C. 1000 liters.

D. 500 liters.

E. 200 liters.

The answer provided is incorrect unless specified that both the inlet and outlet pipe are working together.
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Target 750+
• 17th June 2018 - Diagnostic Test - Kaplan Premier 2015 - 570
• 10th Aug 2018 - Veritas 1 - 650 (Q51,V29)
• 17th Aug 2018 - Veritas 2 - 670 (Q49,V33)
• 24th Aug 2018 - Veritas 3 - 650 (Q49,V30)
• 1st Sep 2018 - Veritas 4 - 680 (Q51,V33)
• 12th Aug 2018 - Veritas 5 - 690 (Q51,V34)
• 30th Sep 2018 - GMAT Official Prep - 640 (Q50,V26)

What do you think? Will I achieve my target score?

Re: An outlet pipe empties a tank in 5 hours &nbs [#permalink] 06 Aug 2018, 23:32
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