# The cyclist traveled 48 km at a speed of 32 km / h and then another 42 km at a speed of 14 km / h. Determine the average

July 28, 2021 | education

| **The cyclist traveled 48 km at a speed of 32 km / h and then another 42 km at a speed of 14 km / h. Determine the average speed of the cyclist along the entire path.**

Average travel speed:

Vav. = S / t, where S is the total distance traveled (S = S1 + S2, where S1 = 48 km S, S2 = 42 km), t is the total travel time of the cyclist (t = t1 + t2).

S1 = V1 * t1, S2 = V2 * t2, V1 = 32 m / s, V2 = 14 m / s.

Cyclist movement time when passing S1, S2:

t1 = 48/32 = 1.5 h; t2 = 42/14 = 3 h.

Let’s calculate the average speed of a cyclist:

Vav. = S / t = (48 + 42) / (1.5 + 3) = 90 / 4.5 = 20 km / h.

Answer: The average speed of a cyclist is 20 km / h.

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