Two sisters are racing toward their destination, 2,000 miles away. Portia travels at a constant speed of 250 miles every week until she reaches the destination. In the first two weeks, Sonia travels half of the distance! However, her speed continually slows down so that she travels half of the remaining distance every two weeks. a) Other than at the initial time, when are Portia and Sonia the same distance from their destination?

_ Weeks
(Round your answer to the nearest tenth of a week)

b) Portia has farther to go during the first few weeks. When is the gap between the sisters the largest?

Portia has _ farther to go than Sonia at _ weeks.
Round your answers to the nearest tenth)

c) Sonia has farther to go during the final few weeks. When is the gap between the sisters the largest?

Sonia has _ farther to go than Portia at _ weeks
(Round your answer to the nearest tenth)

Attachment is hint given.