SOLUTION: Two planes are leaving a certain airport and are flying an identical path. Plane A travels at a constant speed of 300 mph, and plane B, at 500 mph. Plane B leaves exactly one

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Question 262849: Two planes are leaving a certain airport and are flying an identical path. Plane A
travels at a constant speed of 300 mph, and plane B, at 500 mph. Plane B leaves exactly
one hour after plane A has left. How long does it take for Plane B to pass plane A?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Plane A travels at a constant speed of 300 mph, and plane B, at 500 mph.
Plane B leaves exactly one hour after plane A has left.
long does it take for Plane B to pass plane A?
----------------------------------------------------
Plane A DATA:
rate = 300 mph ; time = x hrs ; distance = rt = 300x miles
-------------------------
Plane B DATA:
rate = 500 mph ; time = x-1 hrs ; distance = rt = 500(x-1) miles
==================================================================
Equation:
distanceA = distanceB
300x = 500(x-1)
300x = 500x - 500
200x = 500
x = 5/2 hrs (A time)
x-1 = 3/2 hrs (B time)
==========================
Cheers,
Stan H.