A man launches his boat from point A on a bank of a straight river, 3 km
Question:
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 (see Figure 7). 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 B as soon as possible? (We assume that the speed of the water is negligible com- pared with the speed at which the man rows.)
Figure 7
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Figure 8 If we let x be the distance from C to D then the running distance is DB 8 x and t...View the full answer
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