Final answer:
The fisherman rowed a total of 4 miles. This was calculated by setting up an equation with the total time taken as 5 hours, the speed against the current at 1 mph, and the speed with the current at 4 mph.
Step-by-step explanation:
To solve for the distance the fisherman rowed, we need to determine the time spent rowing upstream and downstream. Let's define d as the distance the fisherman rowed in both directions. The speed upstream is 1 mph, and downstream is 4 mph.
Time taken to go upstream: d / 1 mph = d hours
Time taken to go downstream: d / 4 mph = d/4 hours
Since the entire trip took 5 hours, the sum of time taken for both directions is:
d + d/4 = 5 hours
Solving for d:
- Multiply each term by 4 to eliminate the denominator: 4d + d = 20
- Combine like terms: 5d = 20
- Divide both sides by 5 to solve for d: d = 20/5
- Calculate the result: d = 4 miles
The distance the fisherman rowed is 4 miles.