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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 ## A train travels from Albany to Syracuse, a distance of... tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A train travels from Albany to Syracuse, a distance of... A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany? A. 60 miles per hour B. 50 miles per hour C. 48 miles per hour D. 40 miles per hour E. 35 miles per hour The OA is D. The total distance from Albany to Syracuse is, 120 miles, and the train travels at a rate of 50 miles per hour, that's mean that the time that the train spent from Albany to Syracuse is, 120 / 50 = 2.4 hour or 2 hours and 24 minutes. If we know that the total travelling time of the train was 5 hours and 24 minutes, the time that the train spent from Syracuse to Albany will be, 5.4 - 2.4 = 3 hours. Now, we can get the average rate of speed of the train on the return trip to Albany, will be 120 / 3 = 40 miles per hour. Experts, is there another way to solve this PS question? Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 swerve wrote: A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany? A. 60 miles per hour B. 50 miles per hour C. 48 miles per hour D. 40 miles per hour E. 35 miles per hour The OA is D. The total distance from Albany to Syracuse is, 120 miles, and the train travels at a rate of 50 miles per hour, that's mean that the time that the train spent from Albany to Syracuse is, 120 / 50 = 2.4 hour or 2 hours and 24 minutes. If we know that the total travelling time of the train was 5 hours and 24 minutes, the time that the train spent from Syracuse to Albany will be, 5.4 - 2.4 = 3 hours. Now, we can get the average rate of speed of the train on the return trip to Albany, will be 120 / 3 = 40 miles per hour. Experts, is there another way to solve this PS question? Thanks. Hi swerve. The way you did it is perfect. Another way that we could do here is the following (but I rather the way you did it): The total distance is 120*2=240 miles. The total time is 5 hours and 24 minutes = 5.4 hours. The average speed is: ( 50 m/h + v_2 m/h ) / 2. We have to find v_2. Now, using the formula d=v*t, we will get: $$240\ =\ \frac{\left(50+v_2\right)}{2}\cdot5.4\ \ \Leftrightarrow\ \ 50+v_2\ =\ 88.88889\ \Leftrightarrow\ v_2\ =\ 38.88889\approx39\ \frac{\text{miles}}{\text{hour}}.$$ Now, if we see the options, the right answer is the option D=40. I hope this answer may help you too. I'm available if you'd like a follow-up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 swerve wrote: A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 50 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany? A. 60 miles per hour B. 50 miles per hour C. 48 miles per hour D. 40 miles per hour E. 35 miles per hour We see that it took the train 120/50 = 2.4 hours = 2 hours and 24 minutes to travel from Albany to Syracuse. Since the total time is 5 hours and 24 minutes, it must be true that it took the train 3 hours for the return trip. Since the return trip is also 120 miles, the average speed of the return trip is 120/3 = 40 mph. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT 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 • FREE GMAT Exam Know how you'd score today for$0

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