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Manager
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A, B, C run a circular track starting from the same point [#permalink]
12 May 2007, 13:44
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, 14:41, edited 1 time in total.
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Director
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Re: Circular Track - Rate problem [#permalink]
12 May 2007, 13:59
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.
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Manager
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This is the complete question already.
The question is vague, so that's why I could figure out the answer.
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Senior Manager
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Re: Circular Track - Rate problem [#permalink]
12 May 2007, 14:28
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
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Manager
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I have update the orginial post to Meters. Thanks.
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Senior Manager
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the answer is 12 minutes
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
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Senior Manager
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mbunny wrote: I have update the orginial post to Meters. Thanks.
It happens
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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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