Let the walking time be t hrs then the jogging time is 1 - t hours.
Distance walked = 5t (Velocity x time)
Distance jogged = 9(1 - t)
Total distance travelled = 8 km
Therefore 8 = 5t + 9(1 - t) = 5t + 9 - 9t = -4t + 9.
So, 4t = 9 - 8 = 1 : t = 1/4
If the walking time is 1/4 hr then the jogging time is 1 - 1/4 = 3/4 hr.
Distance jogged = 9 x 3/4 = 6.75 km
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