In still water, a boat averages 12 miles per hour. It takes the same amount of time to travel 14 miles downstream, with the current, as it does 7 miles upstream, against the current. What is the rate of the waters current?
t is equal in both situations ... d = r X t so d/r = t c is rate of waters current
[tex] \frac{14}{12+c} = \frac{7}{12-c} [/tex] 14(12 - c) = 7(12 + c) 2(12 - c) = 12 + c 24 - 2c = 12 + c 12 = 3c 4 = c The rate of the waters current is 4 miles per hour.
