Latest MBA Aptitude Question SOLUTION: Three boys A, B and C start running at constant speeds from the same point P along the circumference of a circular track. The speeds of A, B and C are in the ratio 5:1:1. A and B r

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(#M40015348) MBA question time speed and distance, work, alligations & mixtures Keep an EYE

Three boys A, B and C start running at constant speeds from the same point P along the circumference of a circular track. The speeds of A, B and C are in the ratio 5:1:1. A and B run clockwise while C runs in the anticlockwise direction. Each time A meets B or C on the track he gives them a card. What is the difference in the number of cards received by B and C if A distributes 33 cards in all?Please explain the approach

1) 3
2) 7
3) 5
4) 11

Asked In MBA (11 years ago)

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  (6 years ago)

A: B : C = 5:1:1 ===> A & B meet at 4 distinct points ;
A & C will meet at 6 distinct points.
When a complete 5 round b& c will complete 1 round
=> a meets b 4 times & a meets c 6 times ( one cycle is completed).
So at the end of 3 cycle A meets B 12 times & with C 18 times.
Now in his 16th round A will meet with C but not with B ( as a& b are travelling in same direction so a will be ahead of b) and in his 17th round he meet B & C once.
So for b = 12+1 = 13 & for c = 18+2 = 20 ;
So difference = 20-13=7.

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