Last visit was: 23 May 2024, 04:23 It is currently 23 May 2024, 04:23
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93417
Own Kudos [?]: 626009 [13]
Given Kudos: 81940
Send PM
Manager
Manager
Joined: 22 Sep 2018
Posts: 73
Own Kudos [?]: 77 [4]
Given Kudos: 95
Send PM
VP
VP
Joined: 16 Feb 2015
Posts: 1079
Own Kudos [?]: 1036 [3]
Given Kudos: 30
Location: United States
Send PM
Manager
Manager
Joined: 12 Sep 2017
Posts: 239
Own Kudos [?]: 117 [0]
Given Kudos: 132
Send PM
Re: In a 4000 meter race around a circular stadium having a circumference [#permalink]
I got A by using the ansers.

Why am I wrong? =/

A 4000mts/15min*60sec = 3.33 mps * 360sec (at the end of 5th minute, hence 6 minutes) = 1,600 mts travelled.

So B had a speed of 1.66 mps * 360sec = 600 mts.

So after 6 minutes B will be in the 600 mts mark and A will also be in that mark with one lap ahead.

What am I missing?

Kind regards!
Intern
Intern
Joined: 25 Nov 2019
Posts: 10
Own Kudos [?]: 19 [1]
Given Kudos: 3
Send PM
Re: In a 4000 meter race around a circular stadium having a circumference [#permalink]
1
Bookmarks
Bunuel wrote:
In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

(A) 20 min
(B) 15 min
(C) 10 min
(D) 5 min
(E) 3 min

Are You Up For the Challenge: 700 Level Questions



We know,
circular track = 1000 mtrs.
race = 4000 mtrs.

According to the question, after 5th minute both, slow and the fast runner meet at the starting point.
Slow runner's speed= 1000/5 = 200 mtrs./min
Fast runner's speed = 200 * 2 = 400 mtrs./min

In the 5th min., fast runner has covered = 400*5 = 2000 mtrs.
In the 5th min., slow runner has covered = 200*5 = 1000 mtrs.

If it took 5 mins., to complete 2000 mtrs., it will take another 5 mins to complete 4000 mtrs.

Thus, total of 10 mins to finish the race.
The correct option is C.
Senior Manager
Senior Manager
Joined: 28 Feb 2014
Posts: 471
Own Kudos [?]: 562 [0]
Given Kudos: 74
Location: India
Concentration: General Management, International Business
GMAT 1: 570 Q49 V20
GPA: 3.97
WE:Engineering (Education)
Send PM
Re: In a 4000 meter race around a circular stadium having a circumference [#permalink]
Bunuel wrote:
In a 4000 meter race around a circular stadium having a circumference of 1000 meters, the fastest runner and the slowest runner reach the same point at the end of the 5th minute, for the first time after the start of the race. All the runners have the same starting point and each runner maintains a uniform speed throughout the race. If the fastest runner runs at twice the speed of the slowest runner, what is the time taken by the fastest runner to finish the race?

(A) 20 min
(B) 15 min
(C) 10 min
(D) 5 min
(E) 3 min


ST=D
If the fastest runner runs at twice the speed of the slowest runner, then the distance covered by fast runner will also be twice the distance covered by slower runner.
When distance covered by slower runner for the first time is 1000m, so distance covered by fast runner is 2000m in 5 minutes.

So time taken by fast runner to cover 4000 m is 10 minutes

C is correct
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 33154
Own Kudos [?]: 829 [0]
Given Kudos: 0
Send PM
Re: In a 4000 meter race around a circular stadium having a circumference [#permalink]
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.
GMAT Club Bot
Re: In a 4000 meter race around a circular stadium having a circumference [#permalink]
Moderator:
Math Expert
93417 posts