A pedestrian traveled part of the way at a speed of 3 km / h, spending 2/3 of the time of his movement on this.

| August 6, 2021 | education

A pedestrian traveled part of the way at a speed of 3 km / h, spending 2/3 of the time of his movement on this. For the remaining third of the time, he covered the rest of the way at a speed of 6 km / h. Determine the average speed.

Initial data: V1 (pedestrian speed on the first part of the path) = 3 km / h; t1 (time spent on the first part of the path) = 2/3 t; t2 (time spent on the second part of the path) = 1/3 t; V2 (pedestrian speed on the second part of the path) = 6 km / h.

Let’s define the formula for calculating the average pedestrian speed:

Vav. = (S1 + S2) / t = (V1 * t1 + V2 * t2) / t = (V1 * 2/3 t + V2 * 1/3 t) / t = 2/3 V1 + 1/3 V2.

Let’s perform the calculation:

Vav. = 2/3 * 3 + 1/3 * 6 = 4 km / h.

Answer: The average pedestrian speed was 4 km / h.



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