SOLUTION: Paddling with current a canoeist can travel 48km in 3h. against the current the canoeist takes 4 h ti travel the same distance. find the rate of the canoeist in still water and th

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Question 703538: Paddling with current a canoeist can travel 48km in 3h. against the current the canoeist takes 4 h ti travel the same distance. find the rate of the canoeist in still water and the rate of the current. Please help thank you

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the rate of the canoe in still water in km/hr
Let = the rate of the current in km/hr
= the canoe's rate going with the current in km/hr
= the canoe's rate going against the current in km/hr
----------------
Going with the current:
(1)
Going against the current:
(2)
----------------------
(1)
(1)
and
(2)
(2)
----------------
Add (1) and (2)
(1)
(2)


and
(2)
(2)
(2)
The rate of the canoeist in still water is 14 km/hr
The rate of the current is 2 km/hr
check answer:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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