SOLUTION: Downstream , the boat traveled 64 miles in 2 hours. Heading upstream, however, it could only travel 54 miles in 3 hours. find the speed of the bost in still water and the speed of

Algebra ->  Human-and-algebraic-language -> SOLUTION: Downstream , the boat traveled 64 miles in 2 hours. Heading upstream, however, it could only travel 54 miles in 3 hours. find the speed of the bost in still water and the speed of       Log On


   

Question 1134046: Downstream , the boat traveled 64 miles in 2 hours. Heading upstream, however, it could only travel 54 miles in 3 hours. find the speed of the bost in still water and the speed of the current.
Found 2 solutions by Boreal, Alan3354:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
the boat can make 32 mph with the current and 18 mph against the current.
so 32=s+c, where s is speed of boat in flat water and c the speed of the current
and18=s-c
50=2s
s=25 mph in still water
c=7 mph current

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the 2 speeds downstream and upstream.
The boat's speed is the average of those 2.
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The current is the difference between the boat's and either up or downstream speed.