SOLUTION: 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 d
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-> SOLUTION: 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 d
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Question 1072289: 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?
You can put this solution on YOUR website!
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?
Correct answer:
Ignore all other RIDICULOUS and NONSENSICAL answers!
You can put this solution on YOUR website! .
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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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
= .
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 = = 7.
Answer. The speed Jim canoes in still water is 7 miles per hour.