The first third of the time the car was moving at a speed of 60 km / h, the rest of the time – at a speed

The first third of the time the car was moving at a speed of 60 km / h, the rest of the time – at a speed of 30 km / h. What is the average speed of the vehicle along the way?

Initial data: V1 (vehicle speed in the first third of the time) = 60 km / h; V2 (vehicle speed for the remaining time) = 30 km / h; t1 = 1/3 t; t2 = 2/3 t.

Let’s define the formula for calculating the average speed of the car:

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

Let’s calculate: Vav = 60/3 + 2 * 30/3 = 20 + 20 = 40 km / h.

Answer: The average speed of the vehicle along the entire route was 40 km / h.