Question

A column of soldiers, marching at 100 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

The value is
`D = 205.8 \ m`

Step-by-step explanation:

The time taken for the column to take a step mathematically represented as

100 steps => 1 minutes => 60 seconds

1 step => t

=>
`t = 0.6 \ s`

Generally the length of the column is mathematically represented as

`D = v * t`

substituting 343 m/s for v we have

`D =  343 * 0.6`

=>
`D =  205.8 \  m`