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Get access to the detailed solutions to the previous years questions asked in IIFT exam
The ratio of initial speeds of Anil and Sunil is 2:1 (Since speed is inversely proportional to time )
So in the time Sunil covers 'x' distance, Anil will cover '2x' distance.
Thus, at the start of the second round, they will meet for the second time(Since Anil will complete 2 rounds while Sunil will complete his round).
Now, since the speed of Sunil is halved, the ratio will become 4:1.
At the starting point of the third round, they will meet for 2 + 4 = 6th time(Since Anil will complete 4 rounds while Sunil will complete his round).
Now we can observe a pattern that at the starting point of every nth round, they are meeting at the time.
Thus, at the start of the 7 round, they will meet for the 126 time, and at the starting point of the 9 round, they will meet for the 510 time.
The nth time they will meet between the 6 and 9 rounds (excluding the 6 and 9 rounds) are 127 , 128 , 129 .......508 , 509 .
So, the total meeting points will be 383 points.
Since all the starting points are excluded,
Total meets = 383 - 1 (Starting of 8 round) = 382 meets