SOLUTION: An airplane flies 355 miles to city A . Then, with better winds, it continues on to cityB , 448 miles from A , at a speed 15.8 mi/h greater than on the first leg of the trip.

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Question 1059997: An airplane flies 355 miles to city A . Then, with better winds, it continues on to cityB , 448 miles from A , at a speed 15.8 mi/h greater than on the first leg of the trip. The total flying time was 5.20h . Find the speed at which the plane travelled to city A .
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
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An airplane flies 355 miles to city A. Then, with better winds, it continues on to city B, 448 miles from A,
at a speed 15.8 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 traveled to city A.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Your equation is

 = 5.2.

First addend on the left side is the flying time to get A.
The second addend on the left side is the flying time From A to B.

Solve the equation to get the unknown u, the speed under the question.

As a first step, multiply both sides of the equation by 8*u*(u+15.5).

Then simplify and solve the quadratic equation.


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