"MAXIMA AND MINIMA" A man launches his boat from point on a bank of a straight river, 3 km wide, and wants to reach point, 8 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, where should he land to reach as soon as possible? (We assume that the speed of the water is negligible compared with the speed at which the man rows.)
"MAXIMA AND MINIMA" A man launches his boat from point on a bank of a straight river, 3 km wide, and wants to reach point, 8 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, where should he land to reach as soon as possible? (We assume that the speed of the water is negligible compared with the speed at which the man rows.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
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Chapter1: Equations And Graphs
Section1.6: Solving Other Types Of Equations
Problem 87E: Construction Costs The town of Foxton lies 10 mi north of an abandoned east-west road that runs...
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"MAXIMA AND MINIMA "
A man launches his boat from point on a bank of a
straight river, 3 km wide, and wants to reach point, 8 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, where should
he land to reach as soon as possible? (We assume that the
speed of the water is negligible compared with the speed at
which the man rows.)
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