Question 847609
________________speed__________time__________distance
Hike____________3______________(___)_________(____)
Drive Back______36_____________(___)_________(____)
Total__________________________3.25


The individual times are not given and the distance each way is not given.  We only know that the distances each way are equal.  Call each one-way distance, d.


________________speed__________time__________distance
Hike____________3______________(___)__________d
Drive Back______36_____________(___)__________d
Total__________________________3.25


Uniform rate equation for travel can be stated as RT=D, for Rate, Time, Distance.  This means T=D/R which we use to make expressions for each of the missing times.


________________speed__________time__________distance
Hike____________3______________{{{d/3}}}__________d
Drive Back______36_____________{{{d/36}}}__________d
Total__________________________3.25


Solve the total time sum equation for the unknown distance, d.
{{{highlight_green(d/3+d/36=3.25)}}}, and you could decide if you want to use the equation as {{{d/3+d/36=3&1/4}}}.
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When you know the value for distance d, you can use it to find the values for the times each way.