5. A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between Cand Band then run to B. If he can row 6 km/h and run 9 km/h, where should he land to reach B as soon as possible? Assume that the speed of the water is negligible compared with the speed at which the man rows.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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5. A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to
reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his
boat directly across the river to point C and then run to B, or he could row directly to B, or he
could row to some point D between Cand Band then run to B. If he can row 6 km/h and run 9
km/h, where should he land to reach B as soon as possible? Assume that the speed of the water
is negligible compared with the speed at which the man rows.
Transcribed Image Text:5. A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between Cand Band then run to B. If he can row 6 km/h and run 9 km/h, where should he land to reach B as soon as possible? Assume that the speed of the water is negligible compared with the speed at which the man rows.
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