SOLUTION: A jet plane flying 45mph faster than a propeller plane, travels 3240 miles in 1 hour less time than the propeller plane takes to fly at the same distance? How fast does each plane
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Question 1016705: A jet plane flying 45mph faster than a propeller plane, travels 3240 miles in 1 hour less time than the propeller plane takes to fly at the same distance? How fast does each plane fly? The propeller flies at ? Mph and the jet plane flies at ? Mph
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the speed of the
propellor plane in mi/hr
Let = time in hrs for the
propellor plane to fly 3,240 mi
-------------------------
Equation for propellor plane:
(1)
Equation for jet plane:
(2)
-----------------------------
(1)
(2)
(2)
(2)
(2)
(2)
Multiply both sides by
(2)
(2)
Use quadratic formula
and
----------------
The prop plane flies at 360 mi/hr
The jet plane flies at 405 mi/hr
-----------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
OK
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