It takes Natasha 20 min to drive to work in the morning. She drives home using the same route, but it takes 11 min longer, and she averages 6 mi/h less than in the morning. How far does Natasha drive to work?
Velocity in the morning = V mi/h.
Velocity in the evening = V-6 mi/h.
d = V*t = V * 20/60.
d = (V-6) * 31/60.
V * 20/60 = (V-6) * 31/60.
V = 16.91 mi/h.
d = V * 20/60 = 16.91 * 20/60 = 5.64 Miles.