SOLUTION: A boat takes 3 hours to travel 108 km upstream the return trip downstream takes 2 hours. What is the rate of the boat in still water and what is the rate of the current?

Question 935637: A boat takes 3 hours to travel 108 km upstream the return trip downstream takes 2 hours. What is the rate of the boat in still water and what is the rate of the current?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of boat in still water
y = speed of current
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s = d/t
t = d/s
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upstream:
x - y = 108/3
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downstream:
x + y = 108/2
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put the system of linear equations into standard form
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x - y = 36
x + y = 54
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solution:
x = speed of boat in still water = 45 kph
y = speed of current = 9 kph
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