# SOLUTION: A tugboat goes 180 miles upstream in 15 hours. The return trip downstream takes 10 hours. Find the speed of the tugboat wihtout a current and the speed of the current.

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 Click here to see ALL problems on Rectangles Question 598639: A tugboat goes 180 miles upstream in 15 hours. The return trip downstream takes 10 hours. Find the speed of the tugboat wihtout a current and the speed of the current.Answer by stanbon(57410)   (Show Source): You can put this solution on YOUR website!A tugboat goes 180 miles upstream in 15 hours. The return trip downstream takes 10 hours. Find the speed of the tugboat wihtout a current and the speed of the current. -------------------------- Upstream DATA: distance = 180 miles ; time = 15 hrs ; rate = 180/15 = 12 mph ----- Downstream DATA: distance = 180 miles ; time = 10 hrs ; rate = 180/10 = 18 mph ------ Equation: Upstream: b - c = 12 mph Downstrm: b + c = 18 mph ------------------------------ Add and solve for "b": 2b = 30 mph b = 15 mph (boat speed in still water) --- Solve for "c": b + c = 18 mph 15 + c = 18 c = 3 mph (speed of the current) ===================================== Cheers, Stan H. ==================