Answer:
[tex]d=691.71km[/tex]
Explanation:
The time lag between the arrival of transverse waves and the arrival of the longitudinal waves is defined as:
[tex]t=\frac{d}{v_t}-\frac{d}{v_l}[/tex]
Here d is the distance at which the earthquake take place and [tex]v_t, v_l[/tex] is the velocity of the transverse waves and longitudinal waves respectively. Solving for d:
[tex]t=d(\frac{1}{v_t}-\frac{1}{v_l})\\d=\frac{t}{\frac{1}{v_t}-\frac{1}{v_l}}\\d=\frac{56.4s}{\frac{1}{5.05\frac{km}{s}}-\frac{1}{8.585\frac{km}{s}}}\\d=691.71km[/tex]
