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# A, B, C run a circular track starting from the same point

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Manager
Joined: 11 Jul 2006
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A, B, C run a circular track starting from the same point [#permalink]  12 May 2007, 12:44
A, B, C run a circular track starting from the same point simulataneously and in the same direction at speeds of 4 km/hr, 6km/hr and 8 km/hr respectively. If the length of the track is 400 meters. When will A, B, C meet at the starting point for the first time after they started the race?

a. 1 min
b. 5 min
c. 12 min
d. 20 min
c. 24 min

_________________________________________________
In the above question, when will they meet for the 1st time after they started the race?

a. 1 min
b. 5 min
c. 12 min
d. 20 min
c. 24 min

Last edited by mbunny on 12 May 2007, 13:41, edited 1 time in total.
Director
Joined: 26 Feb 2006
Posts: 905
Followers: 4

Kudos [?]: 59 [0], given: 0

Re: Circular Track - Rate problem [#permalink]  12 May 2007, 12:59
mbunny wrote:
A, B, C run a circular track starting from the same point simulataneously and in the same direction at speeds of 4 km/hr, 6km/hr and 8 km/hr respectively. If the length of the track is 400 miles. When will A, B, C meet at the starting point for the first time after they started the race?

a. 1 min
b. 5 min
c. 12 min
d. 20 min
c. 24 min

_________________________________________________
In the above question, when will they meet for the 1st time after they started the race?

a. 1 min
b. 5 min
c. 12 min
d. 20 min
c. 24 min

do you have complete question. your question seems unclear.
Manager
Joined: 11 Jul 2006
Posts: 68
Followers: 1

Kudos [?]: 16 [0], given: 0

This is the complete question already.

The question is vague, so that's why I could figure out the answer.
Senior Manager
Joined: 03 May 2007
Posts: 272
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Kudos [?]: 8 [0], given: 0

Re: Circular Track - Rate problem [#permalink]  12 May 2007, 13:28
mbunny wrote:
A, B, C run a circular track starting from the same point simulataneously and in the same direction at speeds of 4 km/hr, 6km/hr and 8 km/hr respectively. If the length of the track is 400 miles. When will A, B, C meet at the starting point for the first time after they started the race?

a. 1 min
b. 5 min
c. 12 min
d. 20 min
c. 24 min

_________________________________________________
In the above question, when will they meet for the 1st time after they started the race?

a. 1 min
b. 5 min
c. 12 min
d. 20 min
c. 24 min

I'm sorry but your question is incorrect (probably just a typo) In order to solve it you have to change 400 MILES to 400 METERS
Manager
Joined: 11 Jul 2006
Posts: 68
Followers: 1

Kudos [?]: 16 [0], given: 0

I have update the orginial post to Meters. Thanks.
Senior Manager
Joined: 03 May 2007
Posts: 272
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Kudos [?]: 8 [0], given: 0

if you draw on a piece of paper 4 circles and see the A and B are when C finishes the lap, you'll see that all of them meet after C completes 4 laps.
the length of the lap is 400 METERS so the total distance C covers is 1.6km
C is running at the speed 8km/h so time spent is 1.6/8=0.2hour or 12 minutes
Senior Manager
Joined: 03 May 2007
Posts: 272
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Kudos [?]: 8 [0], given: 0

mbunny wrote:
I have update the orginial post to Meters. Thanks.

It happens
Intern
Joined: 24 Oct 2006
Posts: 32
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Kudos [?]: 0 [0], given: 0

A: Runs 400 meters in (60/6000)*400 = 6 min
B: ... 4 min
C: ... 3 min

LCM of 6, 4 and 3 is 12 min, and that should be the answer.
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