SOLUTION: The current in a river was 3 mph. Jim could canoe downstream on this river for 92 miles in the same time it took him to canoe 68 miles upstream. How long did each trip take, and wh

Algebra ->  Test -> SOLUTION: The current in a river was 3 mph. Jim could canoe downstream on this river for 92 miles in the same time it took him to canoe 68 miles upstream. How long did each trip take, and wh      Log On


   

Question 1044093: The current in a river was 3 mph. Jim could canoe downstream on this river for 92 miles in the same time it took him to canoe 68 miles upstream. How long did each trip take, and what was Jims rowing speed in the canoe?
Found 2 solutions by jorel555, ikleyn:
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be Jim's rowing speed in still water. Then:
68/n-3=92/n+3
92(n-3)=68(n+3)
92n-276=68n+204
24n=480
n=20 mph in still water
68/17=4 hours rowing upstream
92/23=4 hours rowing downstream. ☺☺☺☺

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
For detailed solutions of similar problems see the lesson
    - Selected problems from the archive on the boat floating Upstream and Downstream
in this site.