Question 1125733
.
<pre>
From the start till the catching up moment Nancy traveled  5*87 = 435 miles.


Melanie traveled the same distance, and her way consisted of two parts:

    a) head -start distance, and
 
    b)  5*78 = 390 miles.


Hence, Melanie's head-start was  435 - 390 = 45 miles.


To cover this distance of 45 miles, Melanie took  {{{45/78}}} = {{{15/26}}} of an hour =~ 0.5769 of an hour =~ 34.6 minutes.
</pre>

Solved.


-----------------


The solution by &nbsp;@josmiceli &nbsp;is correct.


The solution by &nbsp;@josgarithmetic &nbsp;is &nbsp;&nbsp;<U>T O T A L L Y &nbsp;&nbsp;W R O N G</U>.