The tourist walked one third of his movement at a speed of 5 km / h, and the remaining time – at a speed of 3 km / h

The tourist walked one third of his movement at a speed of 5 km / h, and the remaining time – at a speed of 3 km / h. Determine the average speed of the tourist.

Average tourist speed:
Vav. = S / t, where S is the total path traveled by the tourist (S = S1 + S2, t is the total travel time (t = t1 + t2, t1 = 1 / 3t, t2 = 2 / 3t).
Traveled sections of the path:
S1 = V1 * t1, S2 = V2 * t2, where V1 = 5 km / h, V2 = 3 km / h.
S1 = V1 * 1 / 3t, S2 = V2 * 2 / 3t.
Let’s calculate the average speed of a tourist:
Vav. = S / t = (V1 * 1 / 3t + V2 * 2 / 3t) / t = (5 * 1 / 3t + 3 * 2 / 3t) / t = 3.67 km / h.
Answer: The average speed of a tourist is 3.67 km / h.