162k views
0 votes
The fisherman Con row upstream at 1 mph and downstream at 4 mph he started rowing upstream until he got tired and then he rowed down stream to a starting point how far did the fishermen row if the entire trip took 5 hours?

The distance the fisherman rowed is ___mi.

User Wen W
by
7.6k points

1 Answer

7 votes

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:

  1. Multiply each term by 4 to eliminate the denominator: 4d + d = 20
  2. Combine like terms: 5d = 20
  3. Divide both sides by 5 to solve for d: d = 20/5
  4. Calculate the result: d = 4 miles

The distance the fisherman rowed is 4 miles.

User Ravid Goldenberg
by
7.9k points