SOLUTION: a boat travels 2 km/hr in still water. the boat travels 4 km in the same amount of time it takes to travel 1 km upstream. what is the speed of the river?

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Question 385317: a boat travels 2 km/hr in still water. the boat travels 4 km in the same amount of time it takes to travel 1 km upstream. what is the speed of the river?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
a boat travels 2 km/hr in still water. the boat travels 4 km in the same amount of time it takes to travel 1 km upstream. what is the speed of the river?
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speed of boat in still water = 2km/h
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let speed of current = c km/h
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upstream seed 2-c
downstream speed = 2+c
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upstream d=1
downstream d=4
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t=d/r
t upstream = t downstream
1/(2-c)=4/(2+c)
cross multiply
(2+c)=4(2-c)
2+c=8-4c
5c=6
c=6/5 km/h
...
m.ananth@hotmail.ca