Question 1072289
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Jim is taking a canoe in the Grand River. The speed of the current is 3 miles per hour. 
Jim can canoe 4 miles upstream in the same time that it would take him to canoe 10 miles downstream. 
What is the speed of Jim’s canoe in still water?
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<pre>
Let "u" be the unknown the speed of Jim’s canoe in still water.

Then the speed canoeing downstream is (u+3) miles per hour (the speed relative to the bank of the river), 
while the speed canoeing upstream is (u-3) miles per hour.

The time Jim spends canoeing 4 miles   upstream is 4/(u-3) hours.
The time Jim spends canoeing 10 miles downstream is 10/(u+3) hours.

According to the condition, these amounts of time are the same.
It gives you an equation

{{{4/(u-3)}}} = {{{10/(u+3)}}}.

To solve it, multiply both sides by (u-3)*(u+3). You will get

4*(u+3) = 10*(u-3),

4u + 12 = 10u - 30,

12 + 30 = 10u - 4u,

6u = 42  --->  u = {{{42/6}}} = 7.


<U>Answer</U>.  The speed Jim canoes in still water is 7 miles per hour.
</pre>

Ignore writing by "josgarithmetic". It is <U>WRONG</U>. 



To see more similar solved problems, look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/Wind-and-Current-problems.lesson>Wind and Current problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/travel/More-problems-on-upstream-and-downstream-round-trips.lesson>More problems on upstream and downstream round trips</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Selected-problems-from-the-archive-on-a-boat-floating-Upstream-and-Downstream.lesson>Selected problems from the archive on the boat floating Upstream and Downstream</A> 

in this site.


Read them attentively and learn how to solve this type of problems once and for all.



Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this textbook under the section "<U>Word problems</U>", the topic "<U>Travel and Distance problems</U>".