ONE MORNING, THE KING SENT THE QUEEN 33 MESSAGES AND THE QUEEN SEN...

2.

One morning, the King sent the Queen 33 messages and the Queen sent the King

61 messages. Each was carried by a messenger. The messages left the respective

Palaces one after another, all travelling at the same constant speed on the same

road which connected the two Palaces. All meeting between two messengers

occurred in the afternoon. Whenever two messages met, they exchanged the

messages they were carrying and headed the other way. How many exchanges

took place during that day?

Answer :

2013 Asia Inter-Cities Teenagers Mathematics Olympiad

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