The rate of the boat in still water is 37 miles per hour and the rate of the current is 8 miles per hour
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let a represent the speed in still water and b represent the rate of the current.
A motor boat travels 116 miles in 4 hours going upstream, hence:
a + b = 180/4 (1)
It travels 180 miles going down stream in the same amount of time. Hence:
a - b = 116/4 (2)
From both equations:
a = 37, b = 8
The rate of the boat in still water is 37 miles per hour and the rate of the current is 8 miles per hour
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