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# A, B and C run around a circular track starting from the

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Senior Manager
Joined: 29 Jan 2007
Posts: 450
Location: Earth
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Kudos [?]: 40 [0], given: 0

A, B and C run around a circular track starting from the [#permalink]  23 Mar 2007, 15:00
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A, B and C run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. If the length of the track is 400 meters, when will A, B and C meet at the starting point for the first time after they started the race?
1 minute
5 minutes
12 minutes
20 minutes
24 minutes

In the above question, when will they meet for the first time after they started the race?
1 minute
5 minutes
12 minutes
20 minutes
24 minutes
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1269
Followers: 23

Kudos [?]: 158 [0], given: 0

A goes around once every 6 minutes, B every 4 and C every 3. As LCM(6,4,3)=12, they will be at the starting point once every 12 min.

After t minutes, A B and C have done t/6, t/4 and t/3 laps. After 12 min. they have done 2,3 and 4 laps. Before this time, the number of laps done by A and B differ by less than one lap, so 12 minutes must elapse from the start of the race before they meet
Senior Manager
Joined: 29 Jan 2007
Posts: 450
Location: Earth
Followers: 2

Kudos [?]: 40 [0], given: 0

Kevincan

Can you not answer question 2 just from question 1....did you elaborate just to provide answer in case question 2 is asked independetly.

Just want to make sure I am not missing some subtle point or a specific case.
I got it right as 12 for 1...and as soon as I read second I knew thats 12 as well. Isnt that right?

Thanks
Manager
Joined: 09 Sep 2004
Posts: 166
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Could someone kindly explain this question in detail to me? Thanks!
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