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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## The Malibu Country Club needs to drain its pool for tagged by: AAPL ##### This topic has 3 expert replies and 0 member replies ### Top Member ## The Malibu Country Club needs to drain its pool for ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Veritas Prep The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool? A. 24 hours B. 26 2/3 hours C. 30 hours D. 33 1/3 hours E. 160 hours OA B. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1295 messages Followed by: 29 members Upvotes: 59 Top Reply AAPL wrote: Veritas Prep The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool? A. 24 hours B. 26 2/3 hours C. 30 hours D. 33 1/3 hours E. 160 hours Excellent opportunity to use UNITS CONTROL, one of the most powerful tools of our method! $\frac{{60\,\,{\text{f}}{{\text{t}}^3}}}{{1\,\,\min }}$ $\frac{4}{5}\left( {80 \cdot 150 \cdot 10} \right)\,\,\,{\text{f}}{{\text{t}}^3}\,\,\,\,\, \leftrightarrow \,\,\,\,?\,\,{\text{h}}$ $?\,\,\, = \,\,\,\frac{4}{5}\left( {80 \cdot 150 \cdot 10} \right)\,\,\,{\text{f}}{{\text{t}}^3}\,\,\,\left( {\frac{{1\,\,\min }}{{60\,\,{\text{f}}{{\text{t}}^3}}}\,\,\begin{array}{*{20}{c}} \nearrow \\ \nearrow \end{array}} \right)\,\,\,\left( {\frac{{1\,\,{\text{h}}}}{{60\,\,\min }}\,\,\begin{array}{*{20}{c}} \nearrow \\ \nearrow \end{array}} \right)$ Obs.: arrows indicate licit converters. $? = \,\,\underleftrightarrow {\frac{{4 \cdot 80 \cdot 150 \cdot 10}}{{5 \cdot 60 \cdot 60}}}\,\, = \,\,\frac{{4 \cdot 8 \cdot 30}}{{6 \cdot 6}} = \frac{{80}}{3} = \frac{{60 + 18 + 2}}{3} = 26\frac{2}{3}\,\,{\text{h}}$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2012 messages Followed by: 15 members Upvotes: 43 AAPL wrote: Veritas Prep The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool? A. 24 hours B. 26 2/3 hours C. 30 hours D. 33 1/3 hours E. 160 hours The amount of water that needs to be drained is: 80 x 150 x 10 x 4/5 = 80 x 150 x 8 = 96,000 ft^3 It will take 96,000/60 = 9600/6 = 1600 minutes, or 1600/60 = 80/3 = 26 2/3 hours, to drain the pool. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10074 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per MINUTE, the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 80% full. We're asked how long it will, in HOURS, to drain the pool. This question is essentially a big 'rate' question, but the answer choices are sufficiently 'spread out' that you can take advantage of them and avoid doing a gigantic calculation. To start, the current amount of water in the pool is (80)(150)(10)(.8) cubic feet. While that is a lengthy calculation, here's how you can make it easier... Since we're multiplying 4 numbers together, it does NOT matter what order we do the multiplying... Thus, we can start with (80)(.8) = 64. (64)(150)(10) = cubic feet of water The rate of the hose is 60 cubic feet per MINUTE. Notice how 64 is just a bit bigger than 60. Thus, it will take a little more than (150)(10) = 1500 minutes to empty the pool. 1500/60 = 150/6 = 25 hours. Thus, we need answer that is a bit bigger than 25 hours. There's only one answer that matches. Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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