Answer:
The average speed during the trip is 6.16
![(km)/(hour)](https://img.qammunity.org/2021/formulas/physics/high-school/mqir8a67v0inzh9jeqql9hn0ayvzmy413k.png)
Step-by-step explanation:
Speed is a physical quantity that expresses the variation in position of an object and as a function of time. In other words, speed expresses the relationship between the space traveled by an object, the time used for it and its direction.
The speed can be calculated by the expression:
![Speed=(distance)/(time)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6shyj4ztxaluxwjjs25y3kpgg1dpz7l57k.png)
Aaron rode his bike home for 1.6 hours at 6.5 km/h and another 15 minutes at 4 km/h. So, the distance in each of the stages can be calculated as, taking into account that 60 minutes= 1 hour:
- distance1=speed*time= 6.5
*1.6 hours= 10.4 km
- distance2= speed*time= 4
*15 minutes= 4
*0.25 hours= 1 km
So:
- total distance= 10.4 km + 1 km= 11.4 km
- total time= 1.6 hours + 0.25 hours= 1.85 hours
Then:
![Speed=(11.4 km)/(1.85 hours)](https://img.qammunity.org/2021/formulas/physics/high-school/62dut7bvxqvizzw8xysg5mobn4c5lzclz2.png)
![Speed=6.16(km)/(hour)](https://img.qammunity.org/2021/formulas/physics/high-school/gnrxlluk2z8kxpma365502wmauqq3v6a3g.png)
The average speed during the trip is 6.16
![(km)/(hour)](https://img.qammunity.org/2021/formulas/physics/high-school/mqir8a67v0inzh9jeqql9hn0ayvzmy413k.png)