Question 1087930
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<pre>
Let u be the Jamie slower rate, in miles per hour (mph).

Then her faster rate is (u+24) mph.


Time at slower rate is {{{560/u}}} hours.

Time at faster rate is {{{560/(u+24)}}} hours.


The time for the two-way journey is the sum of these values, which gives you an equation

{{{560/u}}}  + {{{560/(u+24)}}} = 16    hours.


The setup is done.

To solve the equation, multiply both sides by u*(u+24). You will get

560*(u+24) + 560u = 16u*(u+24).


Simplify and solve this quadratic equation to get the answer u = 60 mph.


<U>Answer</U>.  The slower speed was 60 mph.  The faster speed was 60+24 = 84.
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Solved.