An earthquake emits both s-waves and p-waves which travel at different speeds through the earth. a p-wave travels at 9000 m/s and an s-wave travels at 5000 m/s. if p-waves are received at a seismic station 2.00 minute before an s wave arrives, how far away is the earthquake center?

The distance between earthquake center and the measuring station is 1350 kilometers.

Explanation:

Let the earthquake center be at a distance of 'S' meters from the recording station.

Now from the basic relation of distance, speed and time we know that

For a Primary wave (P wave) let us assume that it appraoches the measuring station after minutes

Thus making use of the above relation we have

Now since it is given that the secondary wave (S wave) reaches the measuring spot after 2 minutes or 120 seconds thus the time taken by secondary waves to reach recorder equals making use of the same relation we get

Solving equation 'i' and 'ii' we get

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