You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.3 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 m/s. Write an equation for the time it takes the sound to reach you through the air

You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.3 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 m/s. Write an equation for the time it takes the sound to reach you through the air

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Question

You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.3 seconds faster than you do through the air. The speed of sound in steel is v_s = 6100 m/s while in air the speed of sound is v_a = 343 m/s.

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 D.

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

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You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 2.7 seconds before you do through the air. The speed of sound in steel is vs = 6100 m/s, and and the air temperature is 36° C. Find the distance, D, to the train in meters.