19. A family takes a car trip. They travel for an hour at 80 km/h and then for 2 hours at 40 km/h. Find the average speed. (Hint, Remember to consider the total distance and the total amount of time.)
Do exactly what their hint suggests,
distance of first part = 1(80) or 80 miles
distance of 2nd part = 2(4) or 80 miles
total distance = 160 miles
total time = 3 hours
avg speed = 160/3 or 53.33.. miles/hr
Ah, the family road trip, a classic recipe for a good time (or a lot of complaining). Let's calculate the average speed with some mathematical mirth, shall we?
First, let's find the total distance traveled. The family cruised at 80 km/h for 1 hour, so they covered a distance of 80 km. Then, they slowed down to a breezy 40 km/h and traveled at that speed for 2 hours, totaling 80 km x 2 = 160 km.
Now, let's calculate the total time spent on this epic journey. With 1 hour at 80 km/h and 2 hours at 40 km/h, we have a grand total of 1 hour + 2 hours = 3 hours.
Finally, to find the average speed, we divide the total distance (in km) by the total time (in hours). So, that's 160 km / 3 hours = 53.33 km/h (approximately).
Therefore, the average speed of the family's car trip would be around 53.33 km/h. And whether that's fast or slow is entirely up to you!
To find the average speed, we need to know the total distance traveled over the total amount of time taken.
1. First, we identify the distances traveled at each speed:
- Speed = 80 km/h, Time = 1 hour → Distance = Speed × Time = 80 km/h × 1 hour = 80 km
- Speed = 40 km/h, Time = 2 hours → Distance = Speed × Time = 40 km/h × 2 hours = 80 km
2. Next, we add the distances traveled together to get the total distance: 80 km + 80 km = 160 km.
3. We also add the times taken together to get the total time: 1 hour + 2 hours = 3 hours.
4. Finally, we calculate the average speed by dividing the total distance by the total time:
Average Speed = Total Distance ÷ Total Time = 160 km ÷ 3 hours ≈ 53.33 km/h
Therefore, the average speed of the car trip is approximately 53.33 km/h.
To find the average speed, you need to consider the total distance traveled and the total time taken.
First, we need to calculate the total distance traveled. We can do this by adding the distances traveled during each part of the trip.
During the first hour, the family traveled at a speed of 80 km/h. So the distance covered in the first hour is 80 km/h * 1 hour = 80 km.
During the next two hours, the family traveled at a speed of 40 km/h. So the distance covered in the next two hours is 40 km/h * 2 hour = 80 km.
Therefore, the total distance traveled is 80 km + 80 km = 160 km.
Next, we need to calculate the total time taken. The family traveled for 1 hour during the first part of the trip and for 2 hours during the second part of the trip. So the total time taken is 1 hour + 2 hours = 3 hours.
Now, we can find the average speed by dividing the total distance traveled by the total time taken: Average speed = total distance / total time = 160 km / 3 hours.
So, the average speed of the family's car trip is approximately 53.33 km/h.