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# Walking at 8KMPH From Point A to Point railway station, mike

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Manager
Joined: 21 Aug 2010
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Location: United States
GMAT 1: 700 Q49 V35
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Walking at 8KMPH From Point A to Point railway station, mike [#permalink]  09 Oct 2011, 10:53
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Difficulty:

35% (medium)

Question Stats:

76% (03:25) correct 24% (02:19) wrong based on 171 sessions
Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station?

A)9KM
B)6.66KM
C)7.25KM
D)12.40KM
E)13KM
[Reveal] Spoiler: OA

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Manager
Status: Meh, I can't take the GMAT before 2017.
Joined: 20 Aug 2011
Posts: 147
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Kudos [?]: 70 [2] , given: 0

Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]  09 Oct 2011, 12:38
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let the distance be x

according to the given condition-

x/8-x/10=10/60
x/40=1/6
x=40/6
x=6.66km

B
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Director
Joined: 01 Feb 2011
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Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]  09 Oct 2011, 14:04
8(t+5) = 10(t-5)
8t+40 = 10t-50
=>t = 45 minutes

distance = 8*((45+5)/60)= 8*(5/6) = 6.66 km

Senior Manager
Joined: 13 May 2011
Posts: 320
WE 1: IT 1 Yr
WE 2: Supply Chain 5 Yrs
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Kudos [?]: 155 [0], given: 11

Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]  09 Oct 2011, 23:49
Using RT=D

Distance= 8 km/h * (t+5)m
Distance= 10 km/h * (t-5)m
Therefore, 8 km/h * (t+5)m = 10 km/h * (t-5)m
solving for t is = 45 min

Distance= 8 km/h * (45+5) min
= 8 km/h * 50/60 hr
= 6.66 km
Manager
Joined: 10 Jan 2011
Posts: 244
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GMAT Date: 07-16-2012
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Kudos [?]: 25 [0], given: 25

Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]  10 Oct 2011, 01:20
Assume distance is D.
d/8-8/10 = 10/60
10d-8d/80 = 1/6
2d/80 = 1/6
d= 1/6*40
d = 6.66

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-------Analyze why option A in SC wrong-------

Veritas Prep GMAT Instructor
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Location: Pune, India
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Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink]  10 Oct 2011, 06:36
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gopu106 wrote:
Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station?

A)9KM
B)6.66KM
C)7.25KM
D)12.40KM
E)13KM

Alternatively, don't assume any variables.

Ratio of speed in 2 cases = 8:10 = 4:5
Ratio of time in the 2 cases = 5:4
The difference between the time is total 10 mins so time taken in the two cases must be 50 min and 40 mins respectively.
Distance = 8 km/hr * (50/60) hrs = 6.66 km

You will be surprised how quickly you can solve questions using ratios (and without writing anything down once you get used to it - that probably accounts for a lot of time saving)

http://www.veritasprep.com/blog/2011/03 ... of-ratios/
http://www.veritasprep.com/blog/2011/03 ... os-in-tsd/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 20 Nov 2010 Posts: 227 Followers: 4 Kudos [?]: 9 [0], given: 38 Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink] 10 Oct 2011, 12:02 Yes ratioes is quick. Speed 8:10 => 4:5 So, Time is 5:4. Bt given diff is 5-(-5) = 10 min => Time is 50:40 Hence distance = 8 * 50/60 = 6.67 Km _________________ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ MGMAT 6 650 (51,31) on 31/8/11 MGMAT 1 670 (48,33) on 04/9/11 MGMAT 2 670 (47,34) on 07/9/11 MGMAT 3 680 (47,35) on 18/9/11 GMAT Prep1 680 ( 50, 31) on 10/11/11 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ CR notes http://gmatclub.com/forum/massive-collection-of-verbal-questions-sc-rc-and-cr-106195.html#p832142 http://gmatclub.com/forum/1001-ds-questions-file-106193.html#p832133 http://gmatclub.com/forum/gmat-prep-critical-reasoning-collection-106783.html http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html http://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html?hilit=chineseburned Manager Joined: 21 Oct 2013 Posts: 194 Location: Germany GMAT 1: 660 Q45 V36 GPA: 3.51 Followers: 0 Kudos [?]: 20 [0], given: 19 Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink] 16 Jul 2014, 01:07 distance = rate * time (1) d = 8km/h * (t+5) (2) d = 10 km/h * (t-5) equalize equations: 8 * (t+5) = 10 * (t-5) --> 8t + 40 = 10t - 50 --> 90 = 2t --> 45 = t (in minutes) now insert into equation (1) or (2): d = 8 km/h * (45+5) --> 8km/h * 5/6 h --> 40/6 km = 6.67 km. B. Senior Manager Joined: 07 Apr 2012 Posts: 464 Followers: 1 Kudos [?]: 15 [0], given: 58 Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink] 11 Aug 2014, 06:01 VeritasPrepKarishma wrote: gopu106 wrote: Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station? A)9KM B)6.66KM C)7.25KM D)12.40KM E)13KM Alternatively, don't assume any variables. Ratio of speed in 2 cases = 8:10 = 4:5 Ratio of time in the 2 cases = 5:4 The difference between the time is total 10 mins so time taken in the two cases must be 50 min and 40 mins respectively. Distance = 8 km/hr * (50/60) hrs = 6.66 km You will be surprised how quickly you can solve questions using ratios (and without writing anything down once you get used to it - that probably accounts for a lot of time saving) To learn more about ratios, check out: http://www.veritasprep.com/blog/2011/03 ... of-ratios/ http://www.veritasprep.com/blog/2011/03 ... os-in-tsd/ Karishma, Can you please explain how you got that the times must be 40 and 50 minutes? Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 5542 Location: Pune, India Followers: 1371 Kudos [?]: 6971 [0], given: 178 Re: Walking at 8KMPH From Point A to Point railway station, mike [#permalink] 11 Aug 2014, 21:11 Expert's post ronr34 wrote: VeritasPrepKarishma wrote: gopu106 wrote: Walking at 8KMPH From Point A to Point railway station, mike will miss the train by 5 minutes. If he walks at 10KMPH he will reach the station by 5 minutes early.What is the distance between Point A to Railway station? A)9KM B)6.66KM C)7.25KM D)12.40KM E)13KM Alternatively, don't assume any variables. Ratio of speed in 2 cases = 8:10 = 4:5 Ratio of time in the 2 cases = 5:4 The difference between the time is total 10 mins so time taken in the two cases must be 50 min and 40 mins respectively. Distance = 8 km/hr * (50/60) hrs = 6.66 km You will be surprised how quickly you can solve questions using ratios (and without writing anything down once you get used to it - that probably accounts for a lot of time saving) To learn more about ratios, check out: http://www.veritasprep.com/blog/2011/03 ... of-ratios/ http://www.veritasprep.com/blog/2011/03 ... os-in-tsd/ Karishma, Can you please explain how you got that the times must be 40 and 50 minutes? Ratio of time taken is 5:4. This is a difference of 1. Actually the difference between time taken is 10 mins. This means, actual values have a multiplier of 10. So time taken must be 5*10 = 50 mins and 4*10 = 40 mins Read up on ratio scale and actual values on the links given in the post above. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: Walking at 8KMPH From Point A to Point railway station, mike   [#permalink] 11 Aug 2014, 21:11
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