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) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = the speed of the
propellor plane in mi/hr
Let +t+ = time in hrs for the
propellor plane to fly 3,240 mi
-------------------------
Equation for propellor plane:
(1) +3240+=+s%2At+
Equation for jet plane:
(2) +3240+=+%28+s+%2B+45+%29%2A%28+t+-+1+%29+
-----------------------------
(1) +t+=+3240%2Fs+
(2) +3240+=+s%2At+%2B+45t+-+s+-+45+
(2) +3240+=+t%2A%28+s+%2B+45+%29+-+s+-+45+
(2) +3240+=+%28+3240%2Fs+%29%2A%28+s+%2B+45+%29+-+s+-+45+
(2) +3240+=+3240+%2B+145800%2Fs+-+s+-+45+
(2) +145800%2Fs+=+s+%2B+45+
Multiply both sides by +s+
(2) +145800+=+s%5E2+%2B+45s+
(2) +s%5E2+%2B+45s+-+145800+=+0+
Use quadratic formula
+s+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+1+
+b+=+45+

+s+=+%28-45+%2B-+sqrt%28+2025+%2B+583200+%29%29%2F2+
+s+=+%28-45+%2B-+sqrt%28+585225+%29%29%2F2+
+s+=+%28+-45+%2B+765+%29+%2F+2+
+s+=+720%2F2+
+s+=+360+
and
+s+%2B+45+=+405+
----------------
The prop plane flies at 360 mi/hr
The jet plane flies at 405 mi/hr
-----------------------------
check:
(1) +3240+=+s%2At+
(1) +3240+=+360t+
(1) +t+=+9+
and
(2) +3240+=+%28+s+%2B+45+%29%2A%28+t+-+1+%29+
(2) +3240+=+405%2A%28+t+-+1+%29+
(2) +3240+=+405t+-+405+
(2) +405t+=+3645+
(2) +t+=+9+
OK