Last visit was: 26 Apr 2026, 13:46 It is currently 26 Apr 2026, 13:46
Close
GMAT Club Daily Prep
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 26 Apr 2026
Posts: 109,884
Own Kudos:
Given Kudos: 105,897
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,884
Kudos: 811,433
 [16]
1
Kudos
Add Kudos
15
Bookmarks
Bookmark this Post
User avatar
rajatchopra1994
Joined: 16 Feb 2015
Last visit: 22 Jun 2024
Posts: 1,052
Own Kudos:
Given Kudos: 30
Location: United States
Posts: 1,052
Kudos: 1,308
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
neha283
Joined: 05 Oct 2017
Last visit: 05 Nov 2021
Posts: 87
Own Kudos:
Given Kudos: 103
Location: India
GMAT 1: 710 Q50 V35
GMAT 1: 710 Q50 V35
Posts: 87
Kudos: 45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
nick1816
User avatar
Retired Moderator
Joined: 19 Oct 2018
Last visit: 12 Mar 2026
Posts: 1,841
Own Kudos:
8,512
 [3]
Given Kudos: 707
Location: India
Posts: 1,841
Kudos: 8,512
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
You don't have to actually calculate where they gonna meet.

Find the ratio of their velocity in reduced form, that is 3 : 2

Since they are running in opposite direction, they will meet at 3+2=5 points. (Answer)

Further, these points will be equally distributed on the track. (200, 400, 600, 800 and 1000)








neha283
rajatchopra1994
Bunuel
Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a circular track of 1000 meters, A running clockwise and B anti-clockwise. If they keep running indefinitely, at how many distinct point on the circle would they meet?

A. 2
B. 3
C. 4
D. 5
E. 6

They Will meet at :

400M
800M
1200 = 200M
1600= 600M
2000= 1000M (Starting Point)

Total 5 distinct Points.

IMO-D
Hey,
could you please elaborate how you came to these 5 points?

Thanks!
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,657
Own Kudos:
20,892
 [2]
Given Kudos: 165
Expert
Expert reply
Posts: 3,657
Kudos: 20,892
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post

Solution



Given
In this question, we are given that
    • Athletes A and B are running at speeds of 30 m/s and 20 m/s on a circular track of 1000 meters
    • A running clockwise and B anti-clockwise

To find
We need to determine
    • The number of distinct meeting points on the circle

Approach and Working out
If the track length remains constant, and the runners run at the opposite direction at a speed ratio a: b, then the number of distinct meeting points are (a + b) along the length of the track
    • Here, the speed ratio of A and B = 30: 20 = 3: 2
    • Hence, the number of distinct meeting points = 3 + 2 = 5

Thus, option D is the correct answer.

Correct Answer: Option D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,990
Own Kudos:
Posts: 38,990
Kudos: 1,118
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109880 posts
Tuck School Moderator
852 posts