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09 Jul 2018, 21:30
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Difficulty:
35%
(medium)
Question Stats:
70% (01:48) correct
30%
(01:36)
wrong
based on 150
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Tom and Harry started running around a circular track of length 400 meters at the same time from diametrically opposite points. Tom ran clockwise while Harry ran anti-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) Ratio of speeds of Tom and Harry is 3:2.
(2) Tom is 50% faster than Harry.
(1) Ratio of speeds of Tom and Harry is 3:2.
(2) Tom is 50% faster than Harry.
09 Jul 2018, 23:51
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To find how much time required by Tom and Harry to meet for the second time
Since Tom and Harry 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, Tom and Harry will meet again after they together complete one full go around the circular track. Therefore Tom and Harry will meet for the second time after another 400 meters.
So we need to find the time taken by Tom and Harry to complete 600(400+200) meters together.
Statement 1
Ratio of speeds of Tom and Harry is 3:2. The speed of Tom and Harry can be
Speed of Tom | speed of Harry
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 Tom and Harry, we can't find a unique value for the time taken by Tom and Harry to complete 600 meters.
Statement 1 is not sufficient
Statement 2
Tom is 50% faster than Harry. The speed of Tom and Harry can be
Speed of Tom | speed of Harry
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 Tom and Harry, we can't find a unique value for the time taken by Tom and Harry to complete 600 meters.
Statement 2 is not sufficient
Statements 1 and 2 together and independently provide the same information and we still don't have a definite values for speeds of Tom and Harry
Statements 1 and 2 together are insufficient
Hence option E
Since Tom and Harry 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, Tom and Harry will meet again after they together complete one full go around the circular track. Therefore Tom and Harry will meet for the second time after another 400 meters.
So we need to find the time taken by Tom and Harry to complete 600(400+200) meters together.
Statement 1
Ratio of speeds of Tom and Harry is 3:2. The speed of Tom and Harry can be
Speed of Tom | speed of Harry
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 Tom and Harry, we can't find a unique value for the time taken by Tom and Harry to complete 600 meters.
Statement 1 is not sufficient
Statement 2
Tom is 50% faster than Harry. The speed of Tom and Harry can be
Speed of Tom | speed of Harry
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 Tom and Harry, we can't find a unique value for the time taken by Tom and Harry to complete 600 meters.
Statement 2 is not sufficient
Statements 1 and 2 together and independently provide the same information and we still don't have a definite values for speeds of Tom and Harry
Statements 1 and 2 together are insufficient
Hence option E
10 Jul 2018, 02:27
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amanvermagmat
1.DIstance = 400 meters
Ratio of speed = 3/2
relative speed = 3x+2x(since they are running in opposite direction)=5x
time taken to meet for the first time t1=200/5x=40/x (The distance is 200 because they are starting diametrically opposite )
second time t2=400/5x=80/x
total time = 80/x+40/x=120/x
insufficient.
2.Restates 1.
Insufficient
combining both we get only the ratio of their respective speeds .
Insufficient.
E
