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.
Deadline expired on January 11, 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.