# SOLUTION: A motor boat takes 4 hours to travel 352 km going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the

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 Click here to see ALL problems on Travel Word Problems Question 330751: A motor boat takes 4 hours to travel 352 km going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?Found 2 solutions by dewasmaharaja, nyc_function:Answer by dewasmaharaja(5)   (Show Source): You can put this solution on YOUR website!Let speed of boat in still water be x km/hr. and speed of stream be y km/hr. Therefore, Upstream, effective speed of boat = x - y = 352/4 = 88. This means, x = y + 88 Downstream, effective speed of boat = x + y = 352/2 = 176 Substituting value of x, y + 88 + y = 176 2y = 176 - 88 = 88 Speed of stream, y = 44 km/hr Speed of boat in still water, x = 44 + 88 = 132 km/hr Answer by nyc_function(2733)   (Show Source): You can put this solution on YOUR website!Let b = speed of boat in still water Let r = speed of current We use D = rt. Upstream: rate = b + r time = 4 distance = 352 Downstream: rate = b - r time = 2 distance = 352 From this information we make two equations in two unknowns. I will set up the equations and you can finish. 4(b + r) = 352...Equation A 2(b - r) = 352...Equation B This is a good start for you. I'm sure you can finish now.