# SOLUTION: It takes a motorboat 4 hours to travel 56 miles down a river, and 3 hours longer to make the return trip. Find the speed of the river current.

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 Question 131478This question is from textbook : It takes a motorboat 4 hours to travel 56 miles down a river, and 3 hours longer to make the return trip. Find the speed of the river current.This question is from textbook Answer by stanbon(57310)   (Show Source): You can put this solution on YOUR website!It takes a motorboat 4 hours to travel 56 miles down a river, and 3 hours longer to make the return trip. Find the speed of the river current. ---------------- Downstream DATA: Time = 4 hr ; distance = 56 miles ; rate = d/t = 56/4 = 14 mph --------------- Upstream DATA: Time = 7 hr ; distance = 56 miles ; rate = d/t = 56/7 = 8 mph -------------- Let boat speed be "b"; Let water speed be "w" -------------- EQUATIONS: b+w = 14 b-w = 8 Add to get: 2b = 22 b = 11 mph (boat speed in still water) Substitute to get water speed: 11+w = 14 w = 3 mph (water speed) ============= Cheers, Stan H.