Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 3 mi/hour faster than she rows upstream. Find Alicia’s rowing rate each way. Round your answers to the nearest tenth, if necessary. (1 point) Responses 4 mi/h downstream; 2.7 mi/h upstream 4 mi/h downstream; 2.7 mi/h upstream 20 mi/h downstream; 13.3 mi/h upstream 20 mi/h downstream; 13.3 mi/h upstream 2.7 mi/h downstream; 4 mi/h upstream 2.7 mi/h downstream; 4 mi/h upstream 9 mi/h downstream; 6 mi/h upstream
4 mi/h downstream; 2.7 mi/h upstream
Let x be Alicia's rowing rate upstream. Then her rowing rate downstream is x+3.
The time it takes Alicia to row downstream can be calculated as 6/(x+3), and the time it takes her to row upstream can be calculated as 4/x. Since these times are equal:
6/(x+3) = 4/x
6x = 4(x+3)
6x = 4x + 12
2x = 12
x = 6
Therefore, Alicia's rowing rate upstream is 6 mi/h, and her rowing rate downstream is 6 + 3 = 9 mi/h.
Rounding to the nearest tenth, Alicia's rowing rate upstream is 2.7 mi/h, and her rowing rate downstream is 4 mi/h.