Alicia can row 10 miles downstream in the same time it takes her to row 6 miles upstream. She rows downstream 4 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)

Question

8.2 mi/h downstream, 5.1 mi/hr upstream

6 mi/h downstream, 10 mi/hr upstream

10 mi/h downstream, 6 mi/hr upstream

9 mi/h downstream, 6 mi/hr upstream

Answer 1

Let x be Alicia's rowing speed upstream. Then her rowing speed downstream is x + 4.

The time taken to row downstream 10 miles is 10/(x+4) hours, and the time taken to row upstream 6 miles is 6/x hours.

Given that these times are equal:
10/(x+4) = 6/x
10x = 6(x + 4)
10x = 6x + 24
4x = 24
x = 6

Therefore, Alicia's rowing rate upstream is 6 mi/hr and her rowing rate downstream is 6 + 4 = 10 mi/hr.

So the correct answer is 10 mi/h downstream, 6 mi/hr upstream.