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# Tom travels the same distance in 4 steps as Alice travels in 5 steps.

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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Tom travels the same distance in 4 steps as Alice travels in 5 steps.  [#permalink]

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17 Jul 2019, 01:35
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15% (low)

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85% (01:39) correct 15% (02:10) wrong based on 34 sessions

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[GMAT math practice question]

Tom travels the same distance in $$4$$ steps as Alice travels in $$5$$ steps. If the length of one of Alice’s steps is $$36 cm$$, what distance, in $$cm$$, does Tom cover in $$18$$ steps?

$$A. 5184$$

$$B. 3688$$

$$C. 1800$$

$$D. 1243$$

$$E. 810$$

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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" VP Joined: 03 Jun 2019 Posts: 1004 Location: India Re: Tom travels the same distance in 4 steps as Alice travels in 5 steps. [#permalink] ### Show Tags 17 Jul 2019, 01:38 1 MathRevolution wrote: [GMAT math practice question] Tom travels the same distance in $$4$$ steps as Alice travels in $$5$$ steps. If the length of one of Alice’s steps is $$36 cm$$, what distance, in $$cm$$, does Tom cover in $$18$$ steps? $$A. 5184$$ $$B. 3688$$ $$C. 1800$$ $$D. 1243$$ $$E. 810$$ Let length of TOM's step be t cm 4t = 5*36 = 180 cm t=45 cm 18t = 45*18 = 810 cm IMO E _________________ "Success is not final; failure is not fatal: It is the courage to continue that counts." Please provide kudos if you like my post. Kudos encourage active discussions. My GMAT Resources: - Efficient Learning Tele: +91-11-40396815 Mobile : +91-9910661622 E-mail : kinshook.chaturvedi@gmail.com Senior Manager Joined: 04 Aug 2010 Posts: 449 Schools: Dartmouth College Re: Tom travels the same distance in 4 steps as Alice travels in 5 steps. [#permalink] ### Show Tags 17 Jul 2019, 04:15 MathRevolution wrote: [GMAT math practice question] Tom travels the same distance in $$4$$ steps as Alice travels in $$5$$ steps. If the length of one of Alice’s steps is $$36 cm$$, what distance, in $$cm$$, does Tom cover in $$18$$ steps? $$A. 5184$$ $$B. 3688$$ $$C. 1800$$ $$D. 1243$$ $$E. 810$$ Since each of Alice's steps = 36 cm, the distance traveled by Alice in 5 steps = 5*36 = 180 cm. Since Tom requires only 4 steps to travel this 180-cm distance, each of Tom's steps = 180/4 = 45 cm. Thus, the distance traveled by Tom in 18 steps = 18*45 = 810 cm. . _________________ GMAT and GRE Tutor Over 1800 followers GMATGuruNY@gmail.com New York, NY If you find one of my posts helpful, please take a moment to click on the "Kudos" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7746 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Tom travels the same distance in 4 steps as Alice travels in 5 steps. [#permalink] ### Show Tags 19 Jul 2019, 01:05 => Let $$t$$ and $$a$$ be stride-lengths of Tom and Alice, respectively. Then $$4t = 5a$$ and $$a = 36.$$ So, $$t = (\frac{5}{4})a = (\frac{5}{4})*36 = 45 cm.$$ It follows that $$18t = 18*45 = 810 cm.$$ Therefore, E is the answer. Answer: E _________________ 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: Tom travels the same distance in 4 steps as Alice travels in 5 steps.   [#permalink] 19 Jul 2019, 01:05
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# Tom travels the same distance in 4 steps as Alice travels in 5 steps.

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