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ANSWER

[tex]6mph[/tex]

EXPLANATION

At first Tenacious ran 12 miles in 2 hours.


The rate at which he ran is the same as his speed.

[tex] = \frac{12}{2} mph[/tex]
[tex] = 6mph[/tex]


Now Tenacious ran 36 miles in 3 hours,


His new rate is

[tex] = \frac{36}{3} mph[/tex]

[tex] = 12mph[/tex]


Tenacious' rate increased from 6mph to 12mph.

Hence his rate increased by 6mph

Answer:

6 miles per hour increase

Step-by-step explanation:

12 miles in 2 hours is 12/2 = 6 miles per hour

36 miles in 3 hours 36/3 = 12 miles per hour

Take the 2nd rate and subtract the first rate

12 - 6 = 6 miles per hour increase