A column of precision marchers keeps in step by listening to the band positioned

Question

A column of precision marchers keeps in step by listening
to the band positioned at the head of the column. The beat of
the music is for 100 paces/min. A television camera shows that
only the marchers at the front and the rear of the column are actually
in step. The marchers in the middle section are striding forward
with the left foot when those at the front and rear are striding forward
with the right foot. The marchers are so well trained, however,
that they are all certain that they are in proper step with the
music. How long is the column?

Explanation / Answer

f = frequency = 100 paces/min = 100/60 paces/sec

Time period is given as

T = 1/f = 1/(100/60) = 0.6

v = speed = 343 m/s

length of coulomn is given as

L = v T

L = 343 x 0.6

L = 205.8 m

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