Final answer:
The combined average velocity of the 25 taxis and 35 trucks is 34.17 km/h when calculated based on the total distance traveled by both vehicle types over the same period.
Step-by-step explanation:
Combined Average Velocity Calculation
To find the combined average velocity of both taxis and trucks, we need to calculate the total distance traveled by all vehicles and divide it by the total time taken. First, we will assume that each group of vehicles travels for the same amount of time, t.
The total distance covered by the taxis is the number of taxis multiplied by their average velocity and the time: 25 taxis × 40 km/h × t = 1000t km. Similarly, for the 35 trucks: 35 trucks × 30 km/h × t = 1050t km.
Combining these distances gives us a total of (1000t + 1050t) km. The total time taken by all vehicles is (25 + 35) vehicles × t = 60t hours.
Therefore, the combined average velocity Vavg is:
Vavg = Total Distance / Total Time = (1000t + 1050t) km / 60t h = 2050t km / 60t h = 34.17 km/h