SOLUTION: A ship made a trip of 231 mi in 14 h. The ship traveled the first 98 mi at a constant rate before increasing its speed by 5 mph. It traveled another 133 mi at the increased speed.

                 RATE       TIME      DISTANCE

First Part       r                     98

Second Part     r+5                 133

TOTALS                      14          231

Your equation is 

 = .

The first addend in the left side is the time spent to cover 98 miles.
The second addend is the time spent to cover 133 miles.
Here "u" is he ship's rate for the first 98 mi, which is under the question.

To solve it, multiply both sides by u*(u+5). You will get this quadratic equation:

98*(u+5) + 133u = 14u*(u+5).

Simplify and solve it for "u".

Can you complete it on your own?  (I don't want to deprive you a pleasure to do it yourself :=).

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Speed  =