During the first half of the journey, the bus went 8 times faster than the second. The average speed of the bus along

During the first half of the journey, the bus went 8 times faster than the second. The average speed of the bus along the entire route is 16 km / h. Determine the speed of the bus on the second half of the journey.

Let us denote the speed on the second half of the journey through v. Then the first half of the journey the bus went at a speed of 8v. Travel time for each half of the trip s / 2:
t₁ = (s / 2) / 8v = s / 16v,
t₂ = (s / 2) / v = s / 2v.
The bus traveled all the way in time t:
t = t₁ + t₂ = s / 16v + s / 2v = 9s / 16v;
Average speed:
Vc = S / t;
16 km / h = S / (9s / 16v) = 16v / 9;
Reduce by 16:
1 km / h = v / 9;
v = 9 km / h.
Answer: 9 km / h.