A boy walks a total distance of 210 km due North. His starting position is at 20 km and his final position is 34 km. If it takes him 3 hours and 20 minutes to make this trip, what is his total velocity? What is his speed?

To find the boy's total velocity and speed, we need to use the given information.

First, let's calculate the total displacement of the boy. We are told that he walks a total distance of 210 km due North. By subtracting his starting position from his final position, we can find his displacement.

Displacement = Final position - Initial position
Displacement = 34 km - 20 km = 14 km

Next, let's calculate the total time taken for the trip. We are given that it takes 3 hours and 20 minutes, which is equivalent to 3 + 20/60 = 3.33 hours.

Now we can calculate the velocity using the formula:

Velocity = Displacement / Time

Velocity = 14 km / 3.33 hours ≈ 4.20 km/h

So the boy's total velocity is approximately 4.20 km/h.

To find the speed, we only need to consider the total distance traveled, not the direction. Since the boy travels a total distance of 210 km and takes 3.33 hours, we can calculate the speed using the formula:

Speed = Distance / Time

Speed = 210 km / 3.33 hours ≈ 63.06 km/h

Therefore, the boy's speed is approximately 63.06 km/h.