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Let's assume John's walking speed is x miles per hour and his jogging speed is 2x miles per hour.
The total distance of the trip is 5 + 2 = 7 miles.
The total time of the trip is 0.9 hours.
We can set up the equation: (5 / x) + (2 / (2x)) = 0.9
To solve for x, we can multiply both sides of the equation by x and simplify:
(5 + 2x) / x = 0.9x
Subtracting 5 from both sides:
2x - 5 = 0.9x
Adding 5 to both sides:
2x = 5.9x
Dividing both sides by 0.1:
x = 59
Since x represents John's walking speed, we can now find his jogging speed:
Jogging speed = 2x = 2 * 59 = 118
John's average jogging speed is 118 miles per hour.
#### 118
The answer is: 118