# SOLUTION: The speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water?

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 Click here to see ALL problems on Travel Word Problems Question 142033: The speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water?Answer by ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!he speed of a stream is 6 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream, what is the speed of the boat in still water? : Let s = speed in still water then (s-6) = speed upstream (in relation to the land) and (s+6) = speed downstream : Write a time equation: Time = dist/speed : Time downstream = time upstream = Cross multiply 98(s-6) = 49(s+6) : 98s - 588 = 49s + 294 : 98s - 49s = 294 + 588 : 49s = 882 s = s = 18 mph in still water : : Check solution by finding out if the times are equal 12 mph = speed up 24 mph = speed down 49/12 = 4.0833 98/24 = 4.0833