SOLUTION: A boat moves 9 kilometers upstream in the same amount of time it moves 17kilometers downstream. If the rate of the current is 9 kilometers per hour, find the rate of the boat in s
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Question 370470: A boat moves 9 kilometers upstream in the same amount of time it moves 17kilometers downstream. If the rate of the current is 9 kilometers per hour, find the rate of the boat in still water.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let rate of boat in still water be x km/h
rate of current = 9km/h..
upstream rate = x-9 km/h
downstream rate = x+9 km/h
..
upstream distance = 9 km
downstream distance = 17 km
..
time down stream = time upstream
9/(x-9)= 17/(x+9)
9(x+9)=17(x-9)
9x+81=17x-153
9x-17x=-153-81
-8x=-234
x= -234/-8
x= 29.5 km/h
...
m.ananth@hotmail.ca
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