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Two cars run in opposite directions on a circular track. Car A travels

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Math Expert
Joined: 02 Sep 2009
Posts: 49303
Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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21 Jul 2017, 07:36
vp101 wrote:
I could not solve this due to my lack of understanding of nomenclature in the question. I could not understand what $$6\pi$$ is.

Is it simply 6<pi>? or is it like square of six <pi>?

Thanks.

It's $$6\pi$$, so 6 multiplied by pi.
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Joined: 08 Aug 2015
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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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21 Jul 2017, 07:41
Sorry Bunuel, but I think this was a problem with my browser. I am sure there is a way in which pi can be depicted by using the forward slash keys. I pasted this URL in a different browser and my problem was solved! Thanks for the reply!
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Joined: 13 Jun 2017
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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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21 Jul 2017, 08:00
LCM of (L/a, ;L/b) is answer. L- Length of track; a- speed of car A, b- speed of car B

LCM (12pi/6pi, 12pi/8pi) = LCM (2, 1.5) = 6 (ANSWER)
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Joined: 21 Sep 2016
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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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15 Sep 2017, 19:33
Didn't think about the concept of relative speed. Didn't remember it, so I solved this in another way.

We know the length of the track is 12pi and we also know the average speed of both A and B.
So, in order for them to have ran a complete lap, the (average speed * time) / length of the track (as in, total distance) should be an integer, though naturally not the same for both of them.

The lowest number in the options provided is 6 hours, hence D is our answer.
Re: Two cars run in opposite directions on a circular track. Car A travels &nbs [#permalink] 15 Sep 2017, 19:33

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