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

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Math Expert
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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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New post 21 Jul 2017, 07:36
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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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New post 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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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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New post 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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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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New post 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.
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Re: Two cars run in opposite directions on a circular track. Car A travels  [#permalink]

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New post 03 Nov 2018, 23:09
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Re: Two cars run in opposite directions on a circular track. Car A travels   [#permalink] 03 Nov 2018, 23:09

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