Question 962389
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S=speed in still water
3hr(S+2mph)=6hr(S-2mph)
3hrS+6mi=6hrS-12mi Add 12 mi to each side.
3hrS+18mi=6hrS Subtract 3hrS from each side
18mi=3hrS Divide each side by 3 Hr
18mi/3hr=6 mph=S ANSWER: The boats rate in still water was 6 mph.
CHECK:
3hr(S+2mph)=6hr(S-2mph)
3hr(6mph+2mph)=6hr(6mph-2mph)
3hr(8mph)=6hr(4mph)
24mi=24mi