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It looks like you've uploaded a photo of a problem related to optimizing travel across a river. This problem involves minimizing the time it takes for a man to cross a river and reach a specific point downstream, considering both rowing and running speeds. 

I can help you break down the problem and calculate the optimal path he should take to reach point B as quickly as possible.

Would you like me to walk through the solution? If so, I’ll need to calculate the time taken for each potential path the man could take. Let me know if you'd like to proceed with this!

A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 3 km downstream on the opposite bank, as quickly as possible. 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 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? (The speed of the water is negligible.)

Discover the optimal point to land when rowing across a 3 km wide river to minimize travel time to a point 3 km downstream. Solve using rate-time-distance calculations and the Pythagorean theorem. Suitable for Grades 10-12.

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