Alicia can row 6 miles downstream in the same time it takes her to row 4 miles

Question

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

Answer 1

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.