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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 bullet train leaves Kyoto for tagged by: Vincen ##### This topic has 1 expert reply and 0 member replies ### Top Member ## A bullet train leaves Kyoto for A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 300 miles apart, at what time will the trains pass each other? A. 12:40pm B. 12:49pm C. 12:55pm D. 1:00pm E. 1:05pm The OA is option B. This kind of questions like me, but I couldn't solve this one. Experts, may you give me some help? Regards. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Vincen. Let's take a look at your question. After the first 10 minutes, the bullet train will have traveled $$240\cdot\left(\frac{10}{60}\right)\ =\ 40\ \ \ miles.$$ Therefore, at 12:10, the distance between the bullet train and the other train is 300 - 40 = 260 miles. The combined rate of the two trains is 240+160=400 miles per hour. Now we have to divide Distance/Rate, to find total time each will travel. Hence, $$t=\frac{d}{v}\ \Leftrightarrow\ t=\frac{260\ m}{400\ \frac{m}{h}}=\ \frac{39h}{60}\ \\=\ \frac{39h}{60}\cdot\frac{60\min}{1\ h}=39\ \min\ \Rightarrow\ \ 39\ \text{minutes to meet each other}.$$ We have to notice that x = 39 minutes for the trains to pass each other AFTER 12:10. Therefore the trains must have passed each other at 12:49 pm. So, the correct answer is B. I hope this explanation may help you. 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. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE 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 • Magoosh Study with Magoosh GMAT prep 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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