We have that the time the earthquake occurred is mathematically given as
The earthquake occurred at =7:03:00 pm
Question Parameters:
A seismic recording station located 4000 kilometers from the epicenter
an earthquake received the first P-wave at 7:10:00 p.m. (h:min:s).
Generally
From t-x diagram, the x axis marks the distance of the station from the epicenter.
Hence we have that the P wave took 7 min to reach the station.
Arrival time of P and S wave is
dt=5 min 40 sec.
Therefore
The earthquake occurred at =7:03:00 pm
The S wave arrived at = 07:15:40 pm.
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