Problema Solution

Two planes, which are 3460 miles apart, fly toward each other. Tiger speeds differ by 65 moh. If they pass each other in 4 hours what is the speed of each?

Answer provided by our tutors

Let 'x' and 'y' are the speeds of the the plains.


t = 4 hours - the time they need to pass the distance between them d


x - y = 65


x*t + y*t = 3460 (the total distance is sum of the distances of the first (x*t) and the second plane (y*t))


The solution of the system equations


x - y = 65

x*4 + y*4 = 3460


gives the answer for the problem:


x= 465 mph


y = 400 mph


One plane has a speed of 465 mph while the other 400 mph.