Question 1151746
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After traveling for 40 minutes, Mr. Koole had to slow to 2/3 his original speed fFor the rest of the trip due to heavy traffic. 
The total trip of 84 miles took 2 hours. Find his original speed.
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            The setup and the setup equation in the post by @josgarithmetic are  INCORRECT.


            So,  I came to provide a correct solution.


            For your safety,  simply ignore the post by  @josgarithmetic.



<pre>
SPEED          TIME hours        DISTANCE

r               2/3             (2/3)r            

(2/3)r          2-2/3=4/3       (4/3)(2/3)r = (8/9)r

TOTALS           2                84


Equation


{{{(2/3)r}}} + {{{(8/9)r}}} = {{{84}}}


Multiply by 9 both sides


6r + 8r = 9*84

14r     = 9*84

  r     = {{{9*(84/14)}}} = 9*6 = 54.


<U>ANSWER</U>.  The original speed was  54 miles per hour.
</pre>

Solved.