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Michael needs to access a point 14 km downstream on the opposite side of a straight river that is 4 km wide. See diagram below. Assume there is minimal to no current in the river. Give 3 decimal places when necessary.

Michael needs to access a point 14 km downstream on the opposite side of a straight river that is 4 km wide. See diagram below. Assume there is minimal to no current in the river. Give 3 decimal places when necessary.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
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Michael needs to access a point 14 km downstream on the opposite side of a straight river that is 4 km wide. See diagram below. Assume there is minimal to no current in the river. Give 3 decimal places when necessary. Start End He can row at rate of 4 km per hour and run at a rate of 7 km per hour. Michael has a few basic options for this trip. • OPTION 1: He can row straight across the river and then run downriver to his destination. • OPTION 2: He can row the entire distance directly to his destination. • OPTION 3: He can row to a point r km downriver and then run the rest of the way to his destination. a) How long would it take in total for OPTION 1 to row straight across the river and then run downriver to the final destination? Hint: Use distance rate x time. OPTION 1 takes hours b) How long would it take for OPTION 2 to row the entire distance díagonally directly to the destination? OPTION 2 takes hours c) Find the Optimal Solution: How far downstream on the opposite side of the river should Michael land in order to Minimize the amount of Time required to arrive at the destination? OPTION 3: I = km for a Minimal Total Time of hours.
Transcribed Image Text:Michael needs to access a point 14 km downstream on the opposite side of a straight river that is 4 km wide. See diagram below. Assume there is minimal to no current in the river. Give 3 decimal places when necessary. Start End He can row at rate of 4 km per hour and run at a rate of 7 km per hour. Michael has a few basic options for this trip. • OPTION 1: He can row straight across the river and then run downriver to his destination. • OPTION 2: He can row the entire distance directly to his destination. • OPTION 3: He can row to a point r km downriver and then run the rest of the way to his destination. a) How long would it take in total for OPTION 1 to row straight across the river and then run downriver to the final destination? Hint: Use distance rate x time. OPTION 1 takes hours b) How long would it take for OPTION 2 to row the entire distance díagonally directly to the destination? OPTION 2 takes hours c) Find the Optimal Solution: How far downstream on the opposite side of the river should Michael land in order to Minimize the amount of Time required to arrive at the destination? OPTION 3: I = km for a Minimal Total Time of hours.
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