Do you remember solving word problems in
high school algebra class? If you found these types of problems difficult
to solve, it was probably because you didn't know exactly what information
you were required to calculate. One of the keys to deciphering word problems
is to look for key phrases and apply the appropriate formula:












Compare the relative speeds of 2 vehicles,
A and B. Both vehicles leave the same departure point but travel at different
speeds. Vehicle A is traveling at 50 miles/hour. Vehicle B is traveling
25 miles/hour. Assuming that neither vehicles slow down nor stop, how long
does it take for each to travel 250 miles? Before you blurt out the answer,
try using one of the above three formulas. Which is the correct formula
to apply here? If you chose the "time" formula, you're right. (Why? The
key phrase in the word problem is "how long does it take"). So, if you
take the distance, 250 miles; and divide by the speed of each vehicle,
you should get:


speed = 50 miles/hr. Time = Distance / Speed = 250 miles/(50 miles/hour) = 5 hours 
speed = 25 miles/hr. Time = Distance / Speed 250 miles/(25 miles/hr) = 10 hours 
So, the lag time difference between the two vehicles (10 hours  5 hours) is 5 hours. What would the lag time be if the distance traveled were 500 miles?
Vehicle A would take 10 hours to travel 500 miles, but Vehicle B would take 20 hours. The lag time here is 10 hours. So, the pattern you should note here is "the greater the distance, the longer the lag time."
The same method of calculation may be used for earthquake waves (Pwaves and Swaves). However, you must use consistent units. If you are given speed units which are "miles per second," you must not mix them with "miles per hour."
The central assumption for using this methodology for calculating the distance to the earthquake epicenter is that the speed of the earthquake waves does not change with distance. However, in reality, this does not hold true over long distances, especially if the earthquake waves penetrate the denser layers of the earth's interior, which causes earthquake waves to speed up in general.
At least 3 earthquake recording stations are required to find the location of the earthquake epicenter. A single recording station can only calculate distance, but not direction; to cover all possibilities, a complete circle is drawn around that station.