SOLUTION: In still water, a boat averages 30 miles per hour. It takes the boat the same amount of time to travel 16 mles downstream, with the current, as 14 miles upstream, against the curre

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Question 458699: In still water, a boat averages 30 miles per hour. It takes the boat the same amount of time to travel 16 mles downstream, with the current, as 14 miles upstream, against the current. What is the rate of the water's current?
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Boat speed = 30 mph
current speed = x mph
wind speed
speed against current 30 - x
speed with current 30 + x

Distance against wind 14 miles
Distance with wind 16 miles

t=d/r time against = time with
14/(30-x )=16/(30 +x)
14(30+x )=16(30-x)
420+14x =480-16x
16x+14x =60
30x=60
/30
x=2 mph current speed