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Problem P. 4030. (December 2007)

P. 4030. A house, situated 100 m to the South of a straight road running East--West, contains a television set which is receiving signals from a distant transmitter, also situated South of the road, operating at a frequency of 60 MHz. A bus, travelling along the road in a westerly direction, causes the received signal to fluctuate in intensity, the rate of fluctuation is 2 Hz when the bus is opposite the house and (temporarily) reduces to zero when it is 200 m further along the road. Find the speed of the bus and the direction of the transmitter.

(5 pont)

Deadline expired on 11 January 2008.


12 students sent a solution.
5 points:Filep Tibor, Fonyó Dávid, Földes Tamás, Lovas Lia Izabella, Pázmán Koppány, Szűcs Gergely.
4 points:Almási 270 Gábor András, Csányi Gergely, Szolnoki Lénárd.
2 points:1 student.
1 point:2 students.

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