A river 102.6 m wide flows toward the south at 32.6 m/min. A girl on the west bank wishes to reach the east bank in the least possible time. She can swim 102.6 m in still water in 1.10 min.

(a) How long does it take her to cross the river?

(b) How far downstream does she travel?

(c) What is her velocity relative to land?

(d) What is the total distance she travels?

(e) In what direction must she swim if she wishes to travel straight across the river?