To find the total distance George jogged, we need to calculate the distance he covered while jogging downhill and then jogging back uphill.
Let's assume the distance George jogged downhill is D.
We know that speed = distance / time.
The time it took George to jog downhill is D/6, and the time it took George to jog back uphill is D/4.
The total jogging time is given as 1.25 hours, so we have the equation:
D/6 + D/4 = 1.25
To solve this equation, we'll first get rid of the denominators by multiplying every term on both sides by 12:
12(D/6) + 12(D/4) = 12(1.25)
2D + 3D = 15
5D = 15
D = 15/5
D = 3
Therefore, the distance George jogged downhill is 3 miles.
Since George jogged back uphill the same distance, the total distance he jogged in all is:
3 + 3 = 6 miles.
So, George jogged a total of 6 miles.