Calculating average speeds when distance is unknown

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The discussion centers on calculating average speeds when the total distance is unknown, specifically referencing a physics problem. A user shares a website with physics questions and solutions, highlighting a particular problem that only provides speed as a fraction of the total distance. The solution involves using the formula v = d/t, which can be rearranged to t = d/v to find time for a segment of the journey. The user expresses confusion about the solution's derivation. Understanding the application of these formulas is essential for solving similar physics problems effectively.
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I found a brilliant website with physics questions + solutions here
http://www.solvephysics.com/problems_kinematics.shtml
the question I'm on they only tell you the speed traveled in fractions of the total distance but don't tell you the total distance. I looked at the solution but couldn't make much sense of where they got this from
kinematics_problem86_clip_image008.gif

heres the solution page
http://www.solvephysics.com/kinematics_problem86.shtml
 
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You know v = d/t, right? That can be rearranged to t = d/v. Then just plug in values for that quarter of the journey.
 

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