SOLUTION: A motorboat travels 406 km in 7 hours going upstream and 936 km in 9 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Question 824842: A motorboat travels 406 km in 7 hours going upstream and 936 km in 9 hours going downstream. 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!
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s = d / t
x = speed of boat in still water
y = speed of the water current
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up:
x - y = 406/7
x - y = 58
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down:
x + y = 936/9
x + y = 104
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system of linear equations:
x - y = 58
x + y = 104
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answer:
x = speed of boat in still water = 81 kph
y = speed of the water current = 23 kph
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