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09 Jul 2018, 21:45
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A
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Difficulty:
75%
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Question Stats:
52% (01:55) correct
48%
(02:05)
wrong
based on 224
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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.
(1) X and Y met for the first time after 40 seconds.
(2) X is 50% faster than Y.
09 Jul 2018, 23:37
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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
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
