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• ### $450 Tuition Credit & Official CAT Packs FREE January 15, 2019 January 15, 2019 10:00 PM PST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### The winning strategy for a high GRE score January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. # John is trying to get from point A to point C, which is 20 miles away  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Manager Joined: 17 Apr 2013 Posts: 59 Location: United States Concentration: Other, Finance Schools: SDSU '16 GMAT 1: 660 Q47 V34 GPA: 2.76 WE: Analyst (Real Estate) John is trying to get from point A to point C, which is 20 miles away [#permalink] ### Show Tags 12 Sep 2014, 20:35 4 4 00:00 Difficulty: 55% (hard) Question Stats: 68% (01:47) correct 32% (01:58) wrong based on 288 sessions ### HideShow timer Statistics John is trying to get from point A to point C, which is 20 miles away to the northeast; however the direct road from A to C is blocked and John must take a detour. John must travel due north to point B and then drive due east to point C. How many more miles will John travel due to the detour than if he had traveled the direct 20 mile route from A to C? 1) The ratio of the distance going north to the distance going east is 4 to 3 2) The distance traveled north going the direct route is 16 _________________ Please +1 KUDO if my post helps. Thank you. Intern Joined: 18 Aug 2014 Posts: 10 Location: India Concentration: General Management, Finance GMAT Date: 10-08-2014 GPA: 3.23 WE: Analyst (Retail Banking) Re: John is trying to get from point A to point C, which is 20 miles away [#permalink] ### Show Tags 13 Sep 2014, 05:50 3 1 clipea12 wrote: John is trying to get from point A to point C, which is 20 miles away to the northeast; however the direct road from A to C is blocked and John must take a detour. John must travel due north to point B and then drive due east to point C. How many more miles will John travel due to the detour than if he had traveled the direct 20 mile route from A to C? 1) The ratio of the distance going north to the distance going east is 4 to 3 2) The distance traveled north going the direct route is 16 The information given in the question can be summarized as the following diagram. Attachment: 1.jpg [ 6.86 KiB | Viewed 3424 times ] 1) The ratio of the distance going north to the distance going east is 4 to 3 Let's say $$AB = 4x$$. This makes $$BC = 3x$$ Since we have just one variable, and the three sides link together using the pythagoras theorem, we have $$AB^2 + BC^2 = AC^2$$ => $$(4x)^2 + (3x)^2 = 20^2$$ From here, we can find a unique value of $$x$$. Although it will be a quadratic equation, we will have just one value as the negative value for distance isn't possible. Once we know x, we can find the difference of the two distances. ---> Sufficient 2) The distance traveled north going the direct route is 16 Here, the statement directly gives us a value for one of the sides of a right triangle. Using this and the information from the question stem, we can find the two distances and hence their distance. ---> Sufficient So, the answer is D. Hope that helps. _________________ The buttons on the left are the buttons you are looking for Current Student Joined: 01 Dec 2016 Posts: 109 Concentration: Finance, Entrepreneurship GMAT 1: 650 Q47 V34 WE: Investment Banking (Investment Banking) Re: John is trying to get from point A to point C, which is 20 miles away [#permalink] ### Show Tags 16 Mar 2017, 09:26 Question stem requires an asumption. "He travels East to B, then North to C" means his paths in B form a right angle. I just missed it because i did not assume ABC was right triangle. _________________ What was previously considered impossible is now obvious reality. In the past, people used to open doors with their hands. Today, doors open "by magic" when people approach them Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6799 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: John is trying to get from point A to point C, which is 20 miles away [#permalink] ### Show Tags 16 Mar 2017, 10:36 clipea12 wrote: John is trying to get from point A to point C, which is 20 miles away to the northeast; however the direct road from A to C is blocked and John must take a detour. John must travel due north to point B and then drive due east to point C. How many more miles will John travel due to the detour than if he had traveled the direct 20 mile route from A to C? 1) The ratio of the distance going north to the distance going east is 4 to 3 2) The distance traveled north going the direct route is 16 Let $$AB = a$$ and $$BC = b. a^2 + b^2 = 400$$ by Pythagoras' theorem. We have 2 variables and 1 equation. Thus we need just 1 more equation, and so D is the most likely correct answer using VA method. Details are as follows. 1) $$a : b = 4 : 3$$ It means $$3a = 4b$$ or $$b = \frac{3}{4}a$$ We have $$a^2 +(\frac{3}{4})^2a = \frac{25}{16}a^2 = 400$$ or $$a^2 =16^2$$. Hence $$a = 16$$ and $$b = 12$$. Therefore, he detours $$8$$ ( $$a + b - 20 = 16 + 12 - 20 = 8$$ ) miles. 2) $$a = 16$$ From $$a^2 + b^2 = 400$$, we have $$256 + b^2 = 400$$ or $$b^2 = 144$$. Hence $$b = 12$$ Therefore, he detours $$8$$ ( $$a + b - 20 = 16 + 12 - 20 = 8$$ ) miles, which is same as 1). The answer is D as expected with VA method. _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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Re: John is trying to get from point A to point C, which is 20 miles away  [#permalink]

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07 Jun 2018, 02:21
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Re: John is trying to get from point A to point C, which is 20 miles away &nbs [#permalink] 07 Jun 2018, 02:21
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