Question

A column of soldiers, marching at 114 steps per minute, keep in step with the beat of a drummer at the head of the column. It is observed that the soldiers in the rear end of the column are striding forward with the left foot when the drummer is advancing with the right. What is the approximate length of the column? (Take the speed of sound to be 343 m/s.)

Answer 1

length of column is 140.42 m

Step-by-step explanation:

in 1 min the soldiers travels 114 steps

so to complete 1 step the time taken by the soldiers =

t =
`(1\ min)/(114)`

t =
`(60)/(114)`

t = 0.526 s

speed of sound = 343 m/s

length of the column = v × t

= 343 m/s × 0.526 s

= 140.42 m

hence the length of column is 140.42 m