SOLUTION: The current in a stream moves at a speed of 3km/h. A boat travels 40 km upstream and 40 km downstream in a total time of 14 hours. What is the speed of the boat in still water?
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Question 591146: The current in a stream moves at a speed of 3km/h. A boat travels 40 km upstream and 40 km downstream in a total time of 14 hours. What is the speed of the boat in still water?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= speed of boat going upstream
= speed of boat going downstream
Let = time going downstream
given:
km/hr
Going downstream:
(1)
Going upstream:
(2)
-------------------------
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
too big
and
(1)
(1)
(1)
(10
The speed of the boat in still water is 7 km/hr
check:
(2)
(2)
(2)
(2)
OK
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