Let Vs and Vp represent the different speeds of S and P waves.
Let L represent the separation between the seismograph and the epicenter.
We possess
L=VsTs..................(i)
L=VpTp................ (ii)
where Ts and Tp are the S and P waves' transit periods to the seismograph, respectively, from the epicenter
Given that Vp=5.4 km/s and Vs=3.5 km/s
Equations I and (ii) give us VsTs =VpTp and 3.5Ts=5.4Tp.
Ts=1.54 Tp...... (iii)
Ts-Tp=30s is a certainty as well.
based on the equation (iii)
0.54Tp = 30 seconds and 1.54Tp = Tp
Tp= 55.56 sec
Equation (ii) yields the following: L=VpTp= 5.4 x 55.56 = 300 km
As a result, the earthquake takes place 300 kilometers away from the seismograph.
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