A seismographic station receives S and P waves from an earthquake, separated in time by 17.8 s. Assume the waves have traveled over the same path at speeds of 4.50 km/s and 6.90 km/s. Find the distance from the seismograph to the focus of the quake.

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rejkjavik rejkjavik · Answer 1 · 2019-07-26T12:02:25+02:00

Answer:

D = 230.2 Km

Explanation:

let distance between seismograph and focus of quake is D

From time distance formula we can calculate the time taken by the S wave

[tex]T_1 =\frac{D}{4.5}[/tex]

From time distance formula we can calculate the time taken by the P wave

[tex]T_2 =\frac{D}{6.90}[/tex]

It is given in equation both waves are seperated from each other by 17.8 sec

so we have

[tex]T_1 - T_2 = 17.8[/tex]sec

Putting both time value to get distance value

[tex]\frac{D}{4.5} - \frac{D}{6.90} = 17.8[/tex]

D = 230.2 Km