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) R
Let x be Alicia's rowing rate upstream in miles per hour and x + 4 be her rowing rate downstream in miles per hour.
The time taken to row 10 miles downstream is 10 / (x + 4) hours.
The time taken to row 6 miles upstream is 6 / x hours.
Since Alicia can row 10 miles downstream in the same time it takes her to row 6 miles upstream:
10 / (x + 4) = 6 / x
Cross multiply to get:
10x = 6(x + 4)
10x = 6x + 24
4x = 24
x = 6
Therefore, Alicia's rowing rate upstream is 6 miles per hour and her rowing rate downstream is 10 miles per hour.