Question 970958
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A car completes a journey in 10 minutes. For the first half of the distance the speed was 60km/hr 
and the second half the speed was 40 km/hr. How far is the journey?
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        The solution in the post by @lwsshak3 is incorrect, and his answer is absurdist.

        It is because his setup equation is wrong.


        I came to bring a correct solution.



let x = total distance of journey
x/2 = distance of first half of journey
x/2 = distance of second half of journey
travel time = distance/speed
10 min = 1/6 hr


Write the time equation


        {{{(x/2)/60}}} + {{{(x/2)/40}}} = {{{1/6}}}


        {{{x/120}}} + {{{x/80}}} = {{{1/6}}}


Multiply both sides by 120*80.


        80x + 120x = 1600

        200x = 1600

        x = 1600/20 = 8


How far is the journey? &nbsp;&nbsp;&nbsp;&nbsp;8 km     &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<<<---=== <U>ANSWER</U>


<U>CHECK</U> for the total time  &nbsp;&nbsp;&nbsp;&nbsp;{{{((8/2))/60}}} + {{{((8/2))/40}}} = {{{4/60}}} + {{{4/40}}} = {{{16/240}}} + {{{24/240}}} = {{{40/240}}} = {{{1/6}}} of an hour.  &nbsp;&nbsp;&nbsp;&nbsp;! precisely correct !


Solved correctly.


It confirms that @lwsshak3 regularly uses his computer code and practically never checks 
and even never looks/reads what the code really produces.