olivia can row 14 miles downstream in the same time it takes her to row 7 miles upstream. She rows downstream 5 miles/hours faster than she rows upstream. Find alicia's rowing rate each way. Round your answers to the nearest tenth, if necessary.
A)2 mi/h downstream, 7 mi/hr upstream
B)5 mi/h downstream, 10 mi/hr upstream
C)10 mi/h downstream, 5 mi/hr upstream
D)14 mi/h downstream, 7 mi/hr upstream
Let x be Olivia's rowing rate upstream in miles per hour. Then her rowing rate downstream would be x + 5 miles per hour.
The time it takes for Olivia to row downstream can be calculated by 14 / (x + 5) and the time it takes for her to row upstream would be 7 / x. Since both times are equal, we have:
14 / (x + 5) = 7 / x
14x = 7(x + 5)
14x = 7x + 35
7x = 35
x = 5
Olivia's rowing rate upstream is 5 mi/hr. Her rowing rate downstream would be 10 mi/hr. Therefore, the correct answer is:
C) 10 mi/h downstream, 5 mi/hr upstream