SOLUTION: A boat traveled for 3hr with a 2mph current to reach a picnic area. The return trip against the same current took 6hr. Find the speed of the boat in still water

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Question 962389: A boat traveled for 3hr with a 2mph current to reach a picnic area. The return trip against the same current took 6hr. Find the speed of the boat in still water
Answer by macston(5194) About Me  (Show Source):
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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