SOLUTION: The speed of the current in a stream is 3 mi/hr. It takes a canoeist 144 minutes longer to paddle 16 miles upstream than to paddle the same distance downstream. What is the canoeis
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Question 989299: The speed of the current in a stream is 3 mi/hr. It takes a canoeist 144 minutes longer to paddle 16 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
mi/hr = speed of the current
Let = the speed of the canoe in still water
= the speed of th canoe going downstream
= the speed of the canoe going upstream
Convert minutes to hrs:
---------------------------
Going downstream:
(1)
Going upstream:
(2)
---------------------------
(1)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
The canoeist's rate in still water is 7 mi/hr
check:
(1)
(1)
(1)
(1) hrs
and
(2)
(2)
(2)
(2)
OK
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