Question 1149025
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<pre>

Let x be the distance from the house to the first stop.


For this distance, you have THIS "time" equation


    {{{x/9}}} + {{{x/6}}} = 2.5  hours.


Multiply both sides by 36  and find


    4x + 6x = 90,

    10x     = 90

      x     = 90/10 = 9 miles.



Next, let y be the distance from the first stop to the second stop.


For this distance, you have THIS "time" equation


    {{{y/5}}} + {{{y/10}}} = 3  hours.


Multiply both sides by 10  and find


    2y +  y = 30,

    3y      = 30

     y     = 30/3 = 10 miles.


Then the total one way distance is  9 miles + 10 miles = 19 miles.


The two way distance is 2*19 = 38 miles.
</pre>

Solved.


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Fresh formulation of traditional &nbsp;"time equation" &nbsp;problems.


My congratulations to the person who invented/created it &nbsp;(!)



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