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10 Nov 2019
A man launches his boat from point A on a bank of astraight river, 4 km wide, and wants to reach point B, 3 kmdownstream on the opposite bank, as quickly as possible (see thefigure below). He could row his boat directly across the river topoint C and then run to B, or he could row directlyto B, or he could row to some point D betweenC and B and then run to B. If he can row 6km/h and run 8 km/h, where should he land to reach B as soonas possible? (We assume that the speed of the water is negligiblecompared to the speed at which the man rows.)
A man launches his boat from point A on a bank of astraight river, 4 km wide, and wants to reach point B, 3 kmdownstream on the opposite bank, as quickly as possible (see thefigure below). He could row his boat directly across the river topoint C and then run to B, or he could row directlyto B, or he could row to some point D betweenC and B and then run to B. If he can row 6km/h and run 8 km/h, where should he land to reach B as soonas possible? (We assume that the speed of the water is negligiblecompared to the speed at which the man rows.)
Nestor RutherfordLv2
11 Jan 2019