# SOLUTION: at full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travle the same distance downstram in 4 hours. What is the rate of the current in miles per hour.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: at full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travle the same distance downstram in 4 hours. What is the rate of the current in miles per hour.      Log On

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 Question 385552: at full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travle the same distance downstram in 4 hours. What is the rate of the current in miles per hour.Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website! At full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travel the same distance downstram in 4 hours. What is the rate of the current in miles per hr. --------------------------- Upstream DATA: distance = 32 miles; time = 8 hrs ; rate = 32/8 = 4 mph ----- Downstream DATA: distance = 32 miles ; time = 4 hrs ; rate = 32/4 8 mph ----- Equation: Let boat speed = b Let current speed = c --- b-c = 4 b+c = 8 --- 2b = 12 b = 6 mph (speed of the boat in still water)\ ---- Since b + c = 8, c = 2 mph ============================= cheers, Stan H. =============================