You place your ear onto a steel railroad track and hear the sound of a distant t

Question

You place your ear onto a steel railroad track and hear the sound of a distant train through the rails At = 3.9 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 Randomized Variables At = 3seconds Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D. Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by Use the difference in these two times to write an equation for the distance to the train. For the given information find the distance to the train in meters. Submissions Attempts remaining: 5 (5 degree /n per attempt) detailed view

Explanation / Answer

as we know, distance/time=speed

part a:

time taken to reach the sound through air=distance of the train/speed of sound in air

=(D/343) seconds

part b:

time taken to reach the sound through steel=distance of train/speed of sound in stell=(D/6100) seconds

part c:

time difference=(D/343)-(D/6100)=2.7515*10^(-3)*D seconds

part d:

given that time difference is 3.9 seconds

=>2.7515*10^(-3)*D=3.9

==>D=3.9/(2.7515*10^(-3))

==>D=1417.4 m

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