Mrs. Patil travels from her home to work in 0.25 hours. The direct distance between her home and work is 8.0 miles. If Mrs. Patil travels 12.4 miles from home to her job, what is her average velocity during the trip?

Regardless of the path taken, at the end of the trip Mrs. Patil will be 8.0 miles away from home. If the path taken involves a trip lasts 0.25 hours, then the average velocity over the trip is
[tex]\dfrac{8.0\,\mathrm{mi}}{0.25\,\mathrm h}=32\,\dfrac{\mathrm{mi}}{\mathrm h}[/tex]