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Old 04-30-2008, 09:21 PM
Anthony b
 
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Default Rate of travel word problem.?

couple guys in a canoe
4 hours to travel 24 miles downstream
6 hours to travel 18 miles upstream
What is the rate of the current?
What is the average speed in still water?
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  #2 (permalink)  
Old 04-30-2008, 09:26 PM
Haven
 
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Go to youtube and there is a professor who puts his calculus lessons on the internet, check it out
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Old 04-30-2008, 09:28 PM
D.W.
 
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downstream speed = still-water speed + current
upstream speed = still-water speed - current
downstream + upstream = 2(still-water speed)

downstream speed = 24 mi/4 hr = 6 mi/hr
upstream speed = 18 mi/6 hr = 3 mi/hr
downstream + upstream = 9 mi/hr = 2*(still-water speed)
still-water speed = 4.5 mi/hr
current = 6-4.5 = 1.5 mi/hr
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Old 04-30-2008, 09:36 PM
Judi L
 
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Let x = speed of current
speed of canoe downstream is 24miles/4hr. or 6 miles/hr.
speed of canoe upstream is 18miles/6 hr. or 3 miles/hr.
Assume the canoe travels at the same speed both ways;
so
average speed of canoe in still water = s
s + x = 6mile/hr
s - x = 3mile/hr
Add equations
2s = 9 miles/hr
s= 4 1/2 miles/hr speed in still water
x = 6 - 4 1/2 = 1 1/2 miles/hr. rate of current
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Old 05-03-2008, 09:27 PM
Larry W
 
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http://www.worldtravelandtourism.net/mavericktravelbrisbane/milestravel.html
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