Question

HELP!!!

Alicia can row 6 miles downstream in the same time it takes her to row 4 miles upstream. She rows downstream 5 miles/hour faster than she rows upstream. Find Alicia’s rowing rate each way. Round your answers to the nearest tenth, if necessary.

Answer 1

Alicia's rowing rate upstream is approximately 7.1 miles per hour, and her rowing rate downstream is approximately 12.1 miles per hour.

Step-by-step explanation:

Let's assume Alicia's rowing rate upstream is x miles per hour. This means her rowing rate downstream is x + 5 miles per hour.

When Alicia rows downstream for 6 miles, the time taken is the same as when she rows upstream for 4 miles. We can use the formula time = distance / rate to set up an equation:

Time downstream: 6 / (x + 5)

Time upstream: 4 / x

Since the time taken is the same, we can set up the equation:

6 / (x + 5) = 4 / x

Solving this equation, we find that x ≈ 7.1 and x + 5 ≈ 12.1.

Therefore, Alicia's rowing rate upstream is approximately 7.1 miles per hour, and her rowing rate downstream is approximately 12.1 miles per hour.