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# The distance between Alice’s house and Bob's is 120 miles. Alice and B

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The distance between Alice’s house and Bob's is 120 miles. Alice and B  [#permalink]

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Updated on: 03 May 2018, 11:09
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[GMAT math practice question]

The distance between Alice’s house and Bob's is 120 miles. Alice and Bob travel in opposite directions along the same road, starting at the same time. They meet at a place that is 40 miles away from Alice’s house. If Alice’s velocity is x miles per hour, what is Bob's velocity in terms of x?

$$A. (\frac{1}{3})x$$
$$B. (\frac{1}{2})x$$
$$C. x$$
$$D. 2x$$
$$E. 3x$$

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"Only $79 for 1 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Originally posted by MathRevolution on 02 May 2018, 02:03. Last edited by MathRevolution on 03 May 2018, 11:09, edited 1 time in total. Manager Joined: 16 Oct 2011 Posts: 133 GMAT 1: 570 Q39 V41 GMAT 2: 640 Q38 V31 GMAT 3: 650 Q42 V38 GMAT 4: 650 Q44 V36 GMAT 5: 570 Q31 V38 GPA: 3.75 Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 02 May 2018, 06:15 This is what i am getting alice's distance = 40mi alice's rate = x mi/hr --> Alice's time which must equal Bob's time = 40/x Bob's distance must = 80 Mi Bobs rate then must be 80/40/x=2x? I must be missing something. Senior Manager Joined: 29 Dec 2017 Posts: 362 Location: United States Concentration: Marketing, Technology GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37 GPA: 3.25 WE: Marketing (Telecommunications) Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 02 May 2018, 06:21 MathRevolution wrote: [GMAT math practice question] The distance between Alice’s house and Bob's is 120 miles. Alice and Bob travel in opposite directions along the same road, starting at the same time. They meet at a place that is 40 miles away from Alice’s house. If Alice’s velocity is x miles per hour, what is Bob's velocity in terms of x? $$A. (\frac{1}{3})x$$ $$B. (\frac{1}{2})x$$ $$C. x$$ $$D. 2x$$ $$E. 3x$$ Dear MathRevolution, If they met 40 miles from Alice house, so A walked 40 miles and Bob 80 miles. The time is the same, so 40/x = 80/y y=2x Answer (D) Please check OA. Logicaly Bob's speed can not be twice slower than Alice's, otherwise they would met closer to Bob's house. GMAT Club Legend Joined: 11 Sep 2015 Posts: 4953 Location: Canada GMAT 1: 770 Q49 V46 Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 02 May 2018, 10:45 1 Top Contributor ocelot22 wrote: This is what i am getting alice's distance = 40mi alice's rate = x mi/hr --> Alice's time which must equal Bob's time = 40/x Bob's distance must = 80 Mi Bobs rate then must be 80/40/x=2x? I must be missing something. You're not missing anything. The question is ambiguous because it doesn't specify where Alice and Bob are when they begin their journeys (although I also assumed that Alice started at her own house and Bob started at his own house). If each person started at his/her own house (and started walking to the other person's house), then the correct answer is D. If each person started at the OTHER person's house (and started walking home), then the correct answer is B. Cheers, Brent _________________ Test confidently with gmatprepnow.com Intern Joined: 01 Jun 2015 Posts: 40 Location: India Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 02 May 2018, 13:08 i got this wrong. Might have missed out on something GMAT Club Legend Joined: 11 Sep 2015 Posts: 4953 Location: Canada GMAT 1: 770 Q49 V46 Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 02 May 2018, 13:13 Top Contributor saraheja wrote: i got this wrong. Might have missed out on something See my post above yours. The question is ambiguous. Cheers, Brent _________________ Test confidently with gmatprepnow.com Director Joined: 08 Aug 2017 Posts: 753 Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 02 May 2018, 15:18 Point of start is not mentioned here. Conventionally, we can assume that both start to walk from their own houses at same time in opposite direction on same road. Thus, answer is D. Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2799 Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 03 May 2018, 15:23 MathRevolution wrote: The distance between Alice’s house and Bob's is 120 miles. Alice and Bob travel in opposite directions along the same road, starting at the same time. They meet at a place that is 40 miles away from Alice’s house. If Alice’s velocity is x miles per hour, what is Bob's velocity in terms of x? $$A. (\frac{1}{3})x$$ $$B. (\frac{1}{2})x$$ $$C. x$$ $$D. 2x$$ $$E. 3x$$ The distance between Alice’s house and Bob's is 120 miles, and the meeting place is 40 miles away from Alice’s house. Therefore, Alice must have traveled 40 miles, and Bob must have traveled 80 miles. We see that Bob has traveled twice the distance Alice has traveled. Since they start at the same time, Bob must be traveling twice as fast as Alice in order to cover the distance that is twice as long. Since we are given that Alice is traveling at x mph, Bob must be traveling at 2x mph. Answer: D _________________ # Jeffrey Miller Head of GMAT Instruction Jeff@TargetTestPrep.com 225 Reviews 5-star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 9138 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B [#permalink] ### Show Tags 06 May 2018, 06:19 => Let v be Bob’s speed, and let t be the time they take to reach their meeting point. Then xt = 40 and vt = 120 – 40 = 80. Bob travels 80 miles in the time it takes Alice to travel 40 miles. Thus, Bob’s speed is twice Alice’s speed. In terms of x, this is 2x. Therefore, the answer is D. Answer : D _________________ 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$79 for 1 month Online Course"
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Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B  [#permalink]

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07 May 2018, 03:49
MathRevolution wrote:
[GMAT math practice question]

The distance between Alice’s house and Bob's is 120 miles. Alice and Bob travel in opposite directions along the same road, starting at the same time. They meet at a place that is 40 miles away from Alice’s house. If Alice’s velocity is x miles per hour, what is Bob's velocity in terms of x?

$$A. (\frac{1}{3})x$$
$$B. (\frac{1}{2})x$$
$$C. x$$
$$D. 2x$$
$$E. 3x$$

distance traveled in time is in ration 1:2 , so speed during that time would also be in ration 1:2 or x:2x

hence, d.
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Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B  [#permalink]

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Re: The distance between Alice’s house and Bob's is 120 miles. Alice and B   [#permalink] 30 May 2020, 15:07