A car travels for three hours at 80km/hour. After three hours, it turns right. It drives 60km/hour for three hours. How many km has it traveled? What was the average speed of the car?
distance for first leg = 240 km
distance for 2nd leg = 180 km
Interpretation 1:
total distance traveled is the hypotenuse
d^2 = 240^2 + 180^2
etc
average speed = d/6 = ...
interpretation 2:
total distance = 240+180 = 420
total time = 6
avg speed = 420/6 = 70
To find out how many kilometers the car has traveled, we need to calculate the distance covered during each leg of the journey and then add them together.
In the first part of the journey, the car travels for three hours at 80 km/h. To find the distance covered, we can multiply the speed (80 km/h) by the time (3 hours).
Distance in the first part of the journey = 80 km/h * 3 hours = 240 km
In the second part of the journey, the car travels for three more hours, but at a different speed of 60 km/h. Again, we can multiply the speed (60 km/h) by the time (3 hours) to find the distance.
Distance in the second part of the journey = 60 km/h * 3 hours = 180 km
Now, we can find the total distance traveled by adding the distances from both parts of the journey.
Total distance traveled = 240 km + 180 km = 420 km
Hence, the car has traveled 420 km.
To find the average speed of the car, we divide the total distance traveled by the total time taken.
Total time taken = 3 hours + 3 hours = 6 hours
Average speed = Total distance traveled / Total time taken = 420 km / 6 hours = 70 km/h
Therefore, the average speed of the car was 70 km/h.