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
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Equation for A:
(1)
(2)
-----------------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
Use the quadratic formula
and
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I'll choose 150 mi/hr for A
and 200 mi/hr for B
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check:
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
OK
