Alicia can row 6 miles downstream in the same time it takes her to row 4 miles
upstream. She rows downstream 3 miles/hour faster than she rows upstream. Find
Alicia's rowing rate each way. Round your answers to the nearest tenth, if necessary.
(1 point)
4 mi/h downstream, 2.7 mi/h upstream
20 mi/h downstream, 13.3 mi/h upstream
2.7 mi/h downstream, 4 mi/h upstream
9 mi/h downstream, 6 mi/h upstream
Let x be Alicia's rowing rate upstream. Then her rowing rate downstream would be x + 3.
The time it takes her to row 6 miles downstream is: 6 / (x + 3)
The time it takes her to row 4 miles upstream is: 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 miles/hour and her rowing rate downstream is 6 + 3 = 9 miles/hour.
Therefore, the correct answer is 9 mi/h downstream, 6 mi/h upstream.