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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 ## Danny and Ian are munching on a jar full of candies. Had tagged by: AAPL ##### This topic has 2 expert replies and 0 member replies ### Top Member ## Danny and Ian are munching on a jar full of candies. Had ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Economist GMAT Danny and Ian are munching on a jar full of candies. Had Danny eaten alone it would have taken him 5 minutes to finish the candies in the jar. Had Ian eaten alone it would have taken him 10 minutes to finish half the jar. Since both of them are eating simultaneously, how long would it take them to empty the jar? A. 2.5 minutes B. 3 minutes C. 3 minutes and 20 seconds D. 6 minutes and 40 seconds E. 4 minutes The OA is E ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10071 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, This question is essentially a "Work Formula" question, since it has 2 people working on a task together. You have to be really careful with the details though, since the two given rates are NOT for the same task.... We're told that Danny can finish off the jar of candies in 5 minutes We're told that Ian can finish off HALF the jar of candies in 10 minutes, which means that he can finish the WHOLE jar in 20 minutes. We're asked how long it would take the two of them to finish the jar of candies together.... Work = (A)(B)/(A+B) where A and B are the individual rates of the two entities. A = 5 B = 20 (5)(20)/(5+20) = 100/25 = 4 minutes to finish off the jar of candies. Final Answer: E GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2012 messages Followed by: 14 members Upvotes: 43 AAPL wrote: Economist GMAT Danny and Ian are munching on a jar full of candies. Had Danny eaten alone it would have taken him 5 minutes to finish the candies in the jar. Had Ian eaten alone it would have taken him 10 minutes to finish half the jar. Since both of them are eating simultaneously, how long would it take them to empty the jar? A. 2.5 minutes B. 3 minutes C. 3 minutes and 20 seconds D. 6 minutes and 40 seconds E. 4 minutes Danny’s rate is 1/5, and Ian’s rate is (1/2)/10. Thus, their combined rate is: 1/5 + (1/2)/10 = 1/5 + 1/20 = 4/20 + 1/20 = 5/20 = 1/4 So it would take them 1/(1/4) = 4 minutes to eat the whole jar of candies together. Answer: E _________________ Scott Woodbury-Stewart Founder and CEO • Award-winning private GMAT tutoring Register now and save up to$200

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