Problem of the Week-1: Loud Speakers

Three loudspeakers are placed so as to form an equilateral triangle. One of the speakers plays four times as loudly as the other two. Assuming that the sound level from a speaker is inversely proportional to the square of the distance to that speaker (and that the sound levels depend only on the distance to the speakers), where should one sit so that each speaker will be heard at the same sound level?

Justify your answer.

Posted: 8/30/06

Submit your answers (by e-mail or hard copy) before 4 pm on 9/8/06 to Noah Aydin.

Mathematics Dept.