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# X and Y started running around a circular track of length 400 meters

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1435
Location: India
X and Y started running around a circular track of length 400 meters  [#permalink]

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09 Jul 2018, 21:45
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Difficulty:

45% (medium)

Question Stats:

55% (01:45) correct 45% (01:46) wrong based on 25 sessions

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X and Y started running around a circular track of length 400 meters at the same time from diametrically opposite points. X ran anti-clockwise while Y ran clockwise. If they kept running continuously at their own uniform speeds till they met for the second time, after how much time did they meet for the second time?

(1) X and Y met for the first time after 40 seconds.

(2) X is 50% faster than Y.
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2555
GPA: 4
WE: Engineering (Computer Software)
X and Y started running around a circular track of length 400 meters  [#permalink]

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09 Jul 2018, 23:37
To find how much time required by X and Y to meet for the second time

Since X and Y run in opposite directions and they start at diametrically opposite points, they together need to cover half the circular track = 200 meters to meet for the first time.

After the first meeting point, X and Y will meet again after they together complete one full go around the circular track. Therefore X and Y will meet for the second time after another 400 meters.

So we need to find the time taken by X and Y to complete 600(400+200) meters together.

Statement 1

X and Y met for the first time after 40 seconds.

=> X and Y completed 200 meters in 40 seconds
=> X and Y will complete 600 meters in 40*3 = 120 seconds (Since they are running at their uniform speeds)

Statement 1 is Sufficient

Statement 2

X is 50% faster than Y

The speed of X and y can be

Speed of X | speed of Y

30 mts/sec | 20 mts/sec
60 mts/sec | 40 mts/sec
90 mts/sec | 60 mts/sec

Since we don't have a definitive values for speed of X and Y, we can't calculate the time taken by X and Y to complete 600 meters.

Statement 2 is not sufficient

Analysis of statements together is not required

Hence option A
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X and Y started running around a circular track of length 400 meters   [#permalink] 09 Jul 2018, 23:37
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