A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 4 km downstream on the opposite bank, as quickly as possible (see the figure below). 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 C and B and then run to B. If he can row 6 km/h and run 8 km/h, how far (in km) downstream from C should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows. Hint: This question is based on EXAMPLE 4 in Section 4.7 of the textbook. However, for this question, the textbook has added a challenge which may require an unexpected solution. Look for itl) A
A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 4 km downstream on the opposite bank, as quickly as possible (see the figure below). 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 C and B and then run to B. If he can row 6 km/h and run 8 km/h, how far (in km) downstream from C should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows. Hint: This question is based on EXAMPLE 4 in Section 4.7 of the textbook. However, for this question, the textbook has added a challenge which may require an unexpected solution. Look for itl) A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 4 km downstream on the opposite bank, as quickly as possible (see the figure below). 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 C and B and then run to B. If he can row 6 km/h and
run 8 km/h, how far (in km) downstream from C should he land to reach B as soon as possible? (We assume that the speed of the water is negligible compared to the speed at which the man rows.
Hint: This question is based on EXAMPLE 4 in Section 4.7 of the textbook. However, for this question, the textbook has added a challenge which may require an unexpected solution. Look for itl)
A
km from C
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