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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 ## An airplane leaves city A to make a connection in city C, be tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 0 member replies ### GMAT/MBA Expert ## An airplane leaves city A to make a connection in city C, be ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 2) An airplane leaves city A to make a connection in city C, before going on to city B (as shown in the map). If the map scale is 1cm=100km, which of the following is closest to the minimum possible distance covered by the airplane from city A to city B, through city C? (A) 1300 km (B) 1250 km (C) 1200 km (D) 1150 km (E) 1100 km Answer: _____(B)__ _________________ 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 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 2) An airplane leaves city A to make a connection in city C, before going on to city B (as shown in the map). If the map scale is 1cm=100km, which of the following is closest to the minimum possible distance covered by the airplane from city A to city B, through city C? (A) 1300 km (B) 1250 km (C) 1200 km (D) 1150 km (E) 1100 km $$?\,\,\, \cong \,\,\,AC + CB\,\,\,\,\left[ {{\text{km}}} \right]$$ $$\left[ {{\rm{cm}}} \right]\,\,\,::\,\,\,\left\{ \matrix{ AC = \sqrt {{2^2} + {8^2}} = \sqrt {{2^2} \cdot 17} = 2\sqrt {17} \,\,\,\mathop > \limits^ \approx \,\,\,8\,\,\,\,\left[ { = 2\sqrt {16} } \right] \hfill \cr CB = \,\,3\sqrt 2 \,\, \cong \,\,3 \cdot 1.41 = 4.23 \hfill \cr} \right.\,\,\,\,\,\,\,\,\,\,\,$$ $$? = AC + CB\,\,\,\, \cong \,\,\,12.23 \cdot 100\,\,\,\,\, \Rightarrow \,\,\,\,\,\left( {\text{B}} \right)\,\,{\text{or}}\,\,\left( C \right)\,\,\, \ldots \,\,\,\,\underline {{\text{approx}}{\text{.}}\,\,{\text{improvement}}\,\,\,{\text{needed}}} !$$ $$\left\{ \matrix{ \sqrt {17} \cong 4 + {a \over {10}}\,\,\,\, \Rightarrow \,\,\,\,\,17 = 16 + {8 \over {10}}a + {{{a^2}} \over {100}}\,\,\,\, \Rightarrow \,\,\,a = 1 \hfill \cr 2\sqrt {17} \cong 2 \cdot 4.1 = 8.2 \hfill \cr} \right.$$ $$? = AC + CB\,\,\,\, \cong \,\,\,12.43 \cdot 100\,\,\,\,\, \Rightarrow \,\,\,\,\,\left( {\text{B}} \right)\,$$ We follow 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 • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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