SOLUTION: A river is flowing downstream at a rate of 2 metres per second. Brendan, who has an average swimming speed of 3 metres per second, decides to go for a swim in the river. He dives i
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Question 952059: A river is flowing downstream at a rate of 2 metres per second. Brendan, who has an average swimming speed of 3 metres per second, decides to go for a swim in the river. He dives into the river and swims downstream to a certain point then swims back upstream to the starting point. The total time taken is 4 minutes. How far did Brendan swim downstream?
Please show working
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The current, m/sec
Swimming speed is m/sec
m/sec downstream
m/sec upstream
----------------------------------
Let = one-way distance he swims
Let = his time in minutes to go downstream
Convert min to sec
sec
----------------------------------------------
Equation for downstream:
(1)
Equation for upstream:
(2)
-----------------------
Substitute (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
He swam 200 m
----------------
check:
(2)
(2)
(2)
OK
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