During earthquake, both longifudinal and transverse waves are produced having speeds `4.0km//s` and `8.0km//s` respectively. If the first transverse wave reahes the seismograph 8 miniutes after the arrival of first longitudinal wave, then find the distance of the position, where the earthquake occured.

Explanation

Let d be the distance of the seismograph from the position of occurrence of earthquake.
Tiem taken by longitudinal waves to travel this distance, `t_(1)=(d)/(upsilon_(1))=(d)/(4)s`
Timem taken by transverse waves to travel lthis distance, `t_(2)=(d)/(upsilon_(2))=(d)/(8)s`
As `t_(1)-t_(2)=8 m i n =8xx60s`
`:. (d)/(4)-(d)/(8)=480 or (d)/(8)=480`
`d=480xx8km=3840km`