GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 18 Feb 2020, 02:11

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

Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 61258
Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a  [#permalink]

Show Tags

New post 10 Jan 2020, 01:54
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

42% (02:02) correct 58% (02:23) wrong based on 33 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
avatar
G
Joined: 16 Feb 2015
Posts: 355
Location: United States
Re: Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a  [#permalink]

Show Tags

New post 10 Jan 2020, 02:04
Bunuel wrote:
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
Manager
Manager
avatar
B
Joined: 05 Oct 2017
Posts: 85
CAT Tests
Re: Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a  [#permalink]

Show Tags

New post 24 Jan 2020, 15:11
rajatchopra1994 wrote:
Bunuel wrote:
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!
VP
VP
User avatar
V
Joined: 19 Oct 2018
Posts: 1301
Location: India
Premium Member
Re: Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a  [#permalink]

Show Tags

New post 24 Jan 2020, 18:50
1
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 wrote:
rajatchopra1994 wrote:
Bunuel wrote:
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!
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3239
Re: Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a  [#permalink]

Show Tags

New post 25 Jan 2020, 12:30
1

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
_________________
GMAT Club Bot
Re: Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a   [#permalink] 25 Jan 2020, 12:30
Display posts from previous: Sort by

Consider athletes A and B running at speeds of 30 m/s and 20 m/s on a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne