beach

19 Direction of the man to reach his destination as soon as possible

MaxMin 19 Route plan of a man on an island to a point on the straight shore

Route plan of a man on an island to a point on the straight shore

Problem 19

A man on an island a miles south of a straight beach wishes to reach a point on shore b miles east of his present position. If he can row r miles per hour and walk w miles per hour, in what direction should he row, to reach his destination as soon as possible? See Fig. 57.

 

 

69 - 71 Shortest and most economical path of motorboat

DiffCalc 021 Trip diagram for minimum cost

Problem 69

A man on an island 12 miles south of a straight beach wishes to reach a point on shore 20 miles east. If a motorboat, making 20 miles per hour, can be hired at the rate of $2.00 per hour for the time it is actually used, and the cost of land transportation is $0.06 per mile, how much must he pay for the trip?

 

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