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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