SOLUTION: The primary wave of an earthquake travels 1.7 times faster than the secondary wave. Assuming that the secondary wave travels at 275 km per min and that the primary wave is recorded

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Question 1123871: The primary wave of an earthquake travels 1.7 times faster than the secondary wave. Assuming that the secondary wave travels at 275 km per min and that the primary wave is recorded at a seismic station 5.07 minutes before the secondary wave, how far from the station was the earthquake?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Time for the secondary wave from the source to the station is  d%2F275 minutes, where d is the distance from the source to the station.


Time for the primary wave from the source to the station is  d%2F%281.7%2A275%29 minutes, where d is the same distance from the source to the station.


Your equation is


d%2F275 - d%2F%281.7%2A275%29 = 5.07 minutes   (the "time difference" equation).


From the equation


d = 5.07%2F%281%2F275+-+1%2F%281.7%2A275%29%29 = (at this point I use Excel spreadsheet in my computer) = 3386 kilometers.


Answer.  The distance from the source to the station is 3386 kilometers.

Solved.