we are given
For first 6 hours:
average speed is 44 mi/h
so, we can find distance travelled in first 6 hours
![d_1=44*6mi](https://img.qammunity.org/2019/formulas/mathematics/middle-school/oqdepnn2x4lqbk6kot1wk30mens5o4nl82.png)
![d_1=264mi](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ybjkh8chebuih497ibg47x71hrvm3dio2h.png)
For last 4 hours:
average speed is 50mi/h
so, we can find distance travelled in first 6 hours
![d_2=50*4mi](https://img.qammunity.org/2019/formulas/mathematics/middle-school/q21xbgr60hkkws43zkf2iwm8cgwcvsangs.png)
![d_2=200mi](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hf0kw0sfkjz5arayxchyyzz2oy7mkn9lyq.png)
now, we can find total distance and total time
![d=d_1+d_2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/m3j6jsuwermyvqb1fkq7n072xooe557o3z.png)
![image](https://img.qammunity.org/2019/formulas/mathematics/middle-school/xyid5xtkpenb33suqfygisbnfwd1ry0yvd.png)
total time is 4+6=10hours
now, we can find speed
![speed=(464)/(10)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/lic8ek4ww3bb5i81jexo4en9tuz28dlpk1.png)
..............Answer