SOLUTION: airplane A travel 600 mile. airplane B travels 1000 miles, 50mph faster than airplane A and 1 hour longer. Find the speed of each plane.

Question 772975: airplane A travel 600 mile. airplane B travels 1000 miles, 50mph faster than airplane A and 1 hour longer. Find the speed of each plane.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the time in hours for airplane A
= the time in hours for airplane B
Let = the speed of A in mi/hr
= the speed of B in mi/hr
--------------------------------
Equation for A:
(1)
(2)
-----------------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
Use the quadratic formula

and

-------------
I'll choose 150 mi/hr for A
and 200 mi/hr for B
-------------------------
check:
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
OK

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