# SOLUTION: A boat travels 27 miles downstream in 3 hours, and when traveling upstream it takes twice as much time to travel 2/3 of that distance. Find the rate of the boat in still water and

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 Click here to see ALL problems on Travel Word Problems Question 398162: A boat travels 27 miles downstream in 3 hours, and when traveling upstream it takes twice as much time to travel 2/3 of that distance. Find the rate of the boat in still water and the rate of the current.Answer by ankor@dixie-net.com(15623)   (Show Source): You can put this solution on YOUR website!A boat travels 27 miles downstream in 3 hours, and when traveling upstream it takes twice as much time to travel 2/3 of that distance. Find the rate of the boat in still water and the rate of the current. : Find the upstream distance: *27 = 18 miles : Let s = boat speed in still water Let c = current speed then (s-c) = effective speed upstream and (s+c) = effective speed downstream : Write a distance equation for each way : 3(s+c) = 27 6(s-c) = 18 Simplify both equations, divide the 1st by 3, and the 2nd by 6, results: s + c = 9 s - c = 3 ------------addition eliminates c, find s 2s = 12 s = 6 mph is the boat speed in still water and 6 + c = 9 c = 3 mph is the current speed : : Check solutions by finding the distance 3(6+3) = 27 6(6-3) = 18