Question 1107449
.
To make the solution highly visible, assume that the whole distance is  120 miles.


Then Jake spends   {{{120/5}}} = 24 hours.


Mike spends   {{{60/6}}} + {{{60/4}}} = 10 + 15 = 25 hours.


Jake is faster.


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<pre>
    For the general case, if D is the distance, then Jake spends  {{{D/5}}}  hours.   (1)


    Mike spends  {{{((D/2))/6}}} + {{{((D/2))/4}}} = {{{D/12 + D/8}}} = {{{(8*D + 12*D)/48}}} = {{{(20*D)/96}}} = {{{D/((96/20))}}}  hours.    (2)


    In (2),  the denominator &nbsp;&nbsp;{{{96/20}}} &nbsp;&nbsp;is LESS THAN 5,  so the fraction  (2)  is GREATER  than fraction (1),

    which means, again, that Mike is slower.
</pre>