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Indian Institute of Foreign Trade 2009 Solved Paper

Question : 96 of 122

Marks: +1, -0

Two motorists Anil and Sunil are practicing with two different sports cars: Ferrari and Maclarun, on the circular racing track, for the car racing tournament to be held next month. Both Anil and Sunil start from the same point on the circular track. Anil completes one round of the track in 1 minute and Sunil takes 2 minutes to compete a round. While Anil maintains same speed for all the rounds, Sunil halves his speed after the completion of each round. How many times Anil and Sunil will meet between the 6th round and 9th round of Sunil (6th and 9th round is excluded)? Assume that the speed of Sunil remains steady throughout each round and changes only after the completion of that round.

260
347
382
None of the above

Validate

Solution:

Since Time

=\frac{\text{Distance}}{\text{Speed}}

therefore as Sunil halves his speed the time required to complete the round will double therefore time required for Round 1 = 2 mins

Round 2 = 4 mins

Round 3 = 8 mins

Round 4 = 16 mins

Round 5 = 32 mins

Round 6 = 64 mins

Round 7 = 128 mins

Round 8 = 256 mins

Round 9 = 512 mins

time required by Anil for Round 1 to Round 9 = 1 mins

Therefore the number of times they meet between 6th round and 9th round of Sunil (6th and 9th round is excluded) = time required by Sunil to complete round 7 and 8 - time required by Anil to complete his round 7 and 8

=256+128-1-1

=382

Therefore answer is option 'C'

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