# SOLUTION: Vincent's boat will go 13 miles per hour in still water. If he can go 14 miles downstream in the same amount of time as it takes to go 8 miles upstream, then what is the speed of t

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 Question 161430: Vincent's boat will go 13 miles per hour in still water. If he can go 14 miles downstream in the same amount of time as it takes to go 8 miles upstream, then what is the speed of the current?Answer by nerdybill(6958)   (Show Source): You can put this solution on YOUR website!distance formula: d = rt where d is distance r is rate or speed t is time . Since we're talking about time, let's rearrange the equation: d = rt solving for t: t = d/r . Let x = speed of current time going downstream 14/(13+x) time going upstream 8/(13-x) . Since "he can go 14 miles downstream in the same amount of time as it takes to go 8 miles upstream" 14/(13+x) = 8/(13-x) 14(13-x) = 8(13+x) 14(13-x) = 8(13+x) 182 - 14x = 104 + 8x 182 - 14x = 104 + 8x 78 = 22x 3.545 mph = x (speed of current)