A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 3 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 toB, 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, where 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.)
A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 3 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 toB, 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, where 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.)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter7: Equations And Inequalities In Two Variables
Section7.3: Distance And Slope
Problem 69PS
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A man launches his boat from point A on a bank of a straight river, 4 km wide, and wants to reach point B, 3 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 toB, 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, where 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.)
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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,
3 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 Cand then run toB,
or he could row directly to B, or he could row to some
point D between Cand B and then run to B. If he can
row 6 km/h and run 8 km/h, where 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.)
A
C
D
B
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