Let the length of the journey be n km. The first half of the journey takes (1/2×n)/80 = 1/160×n hours,
and the second half of the journey takes
(1/2×n)/120 = 1/240×n hours.
The average speed for the complete journey is
n/(1/160×n+1/240×n) = 96 km/h.
and the second half of the journey takes
(1/2×n)/120 = 1/240×n hours.
The average speed for the complete journey is
n/(1/160×n+1/240×n) = 96 km/h.
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