SOLUTION: n airplane flies 355 miles to city A. Then, with better winds, it continues on to city B, 448 miles from A, at a speed 14.0 mi./h greater than on the first leg of the trip. The tot

Algebra.Com
Question 1105147: n airplane flies 355 miles to city A. Then, with better winds, it continues on to city B, 448 miles from A, at a speed 14.0 mi./h greater than on the first leg of the trip. The total flying time was 5.20 h. Find the speed at which the plane travelled to city A.
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
Better winds must mean, "increased wind speed in the traveling direction".
            SPEED       TIME              DISTANCE
To A           r        355/r               355
To B         r+14       448/(r+14)          448
Total                   5.2


Solve this for r.
-
Simplification using the algebra steps should lead to something equivalent to

Discriminant is and ;
continuing on to using general quadratic formula solution,


and when checked in the original equation might be about 5.19 or 5.2, so this solution works.
RELATED QUESTIONS

An airplane flies 355 miles to city A. Then, with better winds, it continues on to city (answered by josgarithmetic)
An airplane flies 355 miles to city A. Then, with better winds, it continues on to city... (answered by josgarithmetic)
Hi, Thank you for answering my question in advance. An airplane flies 355 miles to... (answered by josmiceli)
An airplane flies 355 miles to city A . Then, with better winds, it continues on to... (answered by ikleyn)
An airplane flies 500 mi/h in still air. Flying with the jet stream, the plane travels... (answered by stanbon)
An airplanes flies from city A to city B, a distance of 150 miles, and then turns through (answered by TimothyLamb)
A pilot flew his​ single-engine airplane 60 miles with the wind from City A to... (answered by ikleyn)
A pilot flew his​ single-engine airplane 60 miles with the wind from City A to... (answered by josgarithmetic,ikleyn)
A pilot flew his​ single-engine airplane 90 miles with the wind from City A to... (answered by Boreal)