# SOLUTION: Pamela requires 3 hours to swim 15 miles downstream in the illinois river. The return trip upstream takes 5 hours. Find Pamela's average speed in still water. How fast is the curre

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 Click here to see ALL problems on Miscellaneous Word Problems Question 317902: Pamela requires 3 hours to swim 15 miles downstream in the illinois river. The return trip upstream takes 5 hours. Find Pamela's average speed in still water. How fast is the current?( assume that Pamela's speed is the same in each direction)Answer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!Pamela requires 3 hours to swim 15 miles downstream in the illinois river. ----- time = 3 hrs; distance = 15 miles ; rate = d/t = 15/3 = 5 mph ----------------------------- The return trip upstream takes 5 hours. time = 5 hrs; distance = 15 miles ; rate = 15/5 = 3 mph ------------------------------ Find Pamela's average speed in still water. How fast is the current?( assume that Pamela's speed is the same in each direction) --- Let her swim speed be "s": Let the current speed be "c"; Equations: Down stream: s + c = 5 mph up-stream::: s - c = 3 mph ----------------- Add the two equations and solve for "s" 2s = 8 mph s = 4 mph (Pamel's speed in still water. --- Since s+c=5, c = 1 mph (speed of the current) ===================== Cheers, Stan H. =====================