College Algebra & Trigonometry, 2018a

4.9. OPTIMIZATION 255
Exercises 4.9(d)
1) A woman wants to swim to shore from a raft that is 50 meters offshore and
then run to the snack bar located 100 meters down the shoreline. The woman
swims 1 meter per second and runs at 5 meters per second. Where on the shoreline
should she swim to minimize her travel time?
Raft
50 meters
100 meters
Snack Bar
2) A man is in a boat on a lake 150 ft from shore. He wants to return to his
cabin. He is 400 ft down the shoreline from the cabin. He plans to row to shore,
leave the boat where he lands and then run the rest of the way to the cabin. If
he rows 7 ft per second and runs 15 ft per second, where should he beach the
rowboat to minimize the travel time?
Cabin
400 ft
150 ft
Boat