Final answer:
The average speed of the cyclist during the ride was 23.33 km/h, calculated by dividing the total distance traveled (14 km) by the total time of the trip (0.60 hours).
Step-by-step explanation:
To calculate the average speed of the cyclist during the ride, we add the total distance traveled and divide it by the total time the trip took. The cyclist traveled 6 km northeast in 0.20 hours (12 minutes) and then 8 km east in 0.40 hours (24 minutes).
First, we find the total distance traveled:
- Distance northeast = 6 km
- Distance east = 8 km
- Total distance = 6 km + 8 km = 14 km
Next, we calculate the total time for the trip:
- Time for northeast travel = 0.20 hours
- Time for east travel = 0.40 hours
- Total time = 0.20 hours + 0.40 hours = 0.60 hours
Finally, we use the formula for average speed:
Average speed = Total distance / Total time
= 14 km / 0.60 hours
= 23.33 km/h
Therefore, the average speed of the cyclist during the ride was 23.33 km/h.