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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 ## Speed/time tagged by: vaibhav101 ##### This topic has 2 expert replies and 0 member replies ## Speed/time ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Deb normally drives to work in 45 minutes at an average speed of 40 m/h. This week she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20%. If Deb averages between 12 & 16 m/h when biking, how many minutes earlier will she need to leave in the morning in order to arrive at the same time as when she drives? A 135 B 105 C 95 D 75 E 45 ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15029 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 Top Reply vaibhav101 wrote: Deb normally drives to work in 45 minutes at an average speed of 40 m/h. This week she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20%. If Deb averages between 12 & 16 m/h when biking, how many minutes earlier will she need to leave in the morning in order to arrive at the same time as when she drives? A 135 B 105 C 95 D 75 E 45 Since Deb drives for 3/4 of an hour at a rate of 40 mph, the driving distance to work = rt = (40)(3/4) = 30 miles. Since the biking distance is 20% less than the driving distance, the biking distance = 30 - (1/5)(30) = 24 miles. To guarantee an on-time arrival at even the least possible biking speed -- 12 mph -- the time required to travel 24 miles = d/r = 24/12 = 2 hours. Since the time to work increases from 3/4 hour to 2 hours -- a difference of 1.25 hours -- Deb must leave 75 minutes early to guarantee an on-time arrival. The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1809 messages Followed by: 14 members Upvotes: 43 vaibhav101 wrote: Deb normally drives to work in 45 minutes at an average speed of 40 m/h. This week she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20%. If Deb averages between 12 & 16 m/h when biking, how many minutes earlier will she need to leave in the morning in order to arrive at the same time as when she drives? A 135 B 105 C 95 D 75 E 45 Since 45 minutes = Â¾ hour, the distance between her house and work is 40 x Â¾ = 30 miles. This is her driving route. Since her biking route is 20% shorter, her biking route is 0.8 x 30 = 24 miles. To guarantee she will arrive at the same time as when she drives, we have to assume she bikes at her slow rate of 12 m/h. Thus it will take her 24/12 = 2 hours, or 120 minutes, to bike to work. So she has to leave 120 - 45 = 75 minutes earlier. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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