Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A 100-meter sprinting track is marked off in sixths and in e [#permalink]
03 Apr 2013, 09:54

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

68% (02:40) correct
32% (01:51) wrong based on 96 sessions

Attachment:

GMATPSQS410Q0.png [ 5.06 KiB | Viewed 1413 times ]

A 100-meter sprinting track is marked off in sixths and in eighths. What is the shortest approximate distance, in meters, between any two of the marks that do not overlap?

Re: A 100-meter sprinting track is marked off in sixths and in e [#permalink]
03 Apr 2013, 11:15

A good strategy might be to find the points on a 100 m long track where these divisions will be marked. 1. One sixth division 100/6=16.67 200/6=33.34 300/6=50.01 200/6=66.68 200/6=83.35 600/6=100

Now let us find the divisions from each column that is closest to each other. Looking at the options, we can tell that c,d and e are out of question as there are clearly options of lesser lengths. Let us choose between a and b. Check for differences between closest points. The distance will be greater than 4. So, b is the closest right answer.

Hope this helps.

kuttingchai wrote:

This problem looks similar to one solved in following links, but was not able to solve it using the method described in those links.

Re: A 100-meter sprinting track is marked off in sixths and in e [#permalink]
03 Apr 2013, 11:59

3

This post received KUDOS

1

This post was BOOKMARKED

kuttingchai wrote:

A 100-meter sprinting track is marked off in sixths and in eighths. What is the shortest approximate distance, in meters, between any two of the marks that do not overlap?

A 3.87 B 4.16 C 6.25 D 8.06 E 12.50

Convert the fraction to those which have a Common demoninator: \(1/6\) , \(1/8\) => \(1/24\)

Without overlapping, the closest possible would be \(\frac{1}{24}\), we see this occur four times when comparing the two groups: 4-3, 8-9, 16-15, 20-21

The track is 100 meters, so multiply \(\frac{1}{24}\) by 100 --> \(\frac{1}{24}*100=\frac{100}{24}=4.166666\)

Re: A 100-meter sprinting track is marked off in sixths and in e [#permalink]
03 Apr 2013, 22:54

Expert's post

kuttingchai wrote:

A 100-meter sprinting track is marked off in sixths and in eighths. What is the shortest approximate distance, in meters, between any two of the marks that do not overlap?

A 3.87 B 4.16 C 6.25 D 8.06 E 12.50

One can always scale the given length(in this case 100 mts) to a more convenient number like 240/2400 etc. Thus, for 240, the sixths markings are at 40,80,120,160,200,240. For eights, it will be at 30,60,90,120,150,180,210,240. Thus, the minimum distance between non-overlapping marks is 10. Thus, for 240 it is 10, for 100 it will be 100/24 = 4.16

Re: A 100-meter sprinting track is marked off in sixths and in e [#permalink]
24 Jul 2013, 03:34

1

This post received KUDOS

Thank you for the replies - Understood where i went wrong.

LCM of 6 and 8 is 24 Therefore 24/6=4 so the marks are {4,8,12,16,20} Therefore 24/8=3 so the marks are {3,6,9,12,15,18,21} Least possible distance is 1/24 Therefore least possible distance in meters = (1/24)*100 = 4.16 B

Re: A 100-meter sprinting track is marked off in sixths and in e [#permalink]
24 Nov 2014, 07:18

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

This week went in reviewing all the topics that I have covered in my previous study session. I reviewed all the notes that I have made and started reviewing the Quant...

I was checking my phone all day. I wasn’t sure when I would receive the admission decision from Tepper. I received an acceptance from Goizueta in the early morning...

I started running as a cross country team member since highshcool and what’s really awesome about running is that...you never get bored of it! I participated in...