Two out-of-tune flutes play the same note. One produces a tone that has a frequency of 242 Hz, while the other produces 288 Hz. When a tuning fork is sounded together with the 242-Hz tone, a beat frequency of 26.0 Hz is produced. When the same tuning fork is sounded together with the 288-Hz tone, a beat frequency of 20.0 Hz is produced. What is the frequency of the tuning fork?

1 answer

Beat frequency
f =| f1-f2|
242<f<288

f-242=26
288-f=20
f=268 Hz