Iift 2009 Question 96
This is a detailed step-by-step solution for Iift 2009 Question 96. Understand the concept, common mistakes, and expert tips to solve similar questions in IIFT exam.
IIFT 2009
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