# SOLUTION: A boat travels 24 mi upstream in 3 hrs. then it takes 3 hrs to go downstream at 36 mi downstream, Find the speed of boat in still water and the speed of the current. (using two unk

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: A boat travels 24 mi upstream in 3 hrs. then it takes 3 hrs to go downstream at 36 mi downstream, Find the speed of boat in still water and the speed of the current. (using two unk      Log On

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 Click here to see ALL problems on Length-and-distance Question 115228: A boat travels 24 mi upstream in 3 hrs. then it takes 3 hrs to go downstream at 36 mi downstream, Find the speed of boat in still water and the speed of the current. (using two unknowns, write two equations and solve.) >>>>>>>>>>>>>THANKS IN ADVANCEAnswer by stanbon(57984)   (Show Source): You can put this solution on YOUR website!A boat travels 24 mi upstream in 3 hrs. then it takes 3 hrs to go downstream at 36 mi downstream, Find the speed of boat in still water and the speed of the current. (using two unknowns, write two equations and solve.) ---------------- Let still water speed be "b"; Let current speed be "c" ------------------- Upstream DATA: Distance = 24 miles ; Time = 3 hrs ; Rate = b-c=d/t = 8 mph -------------- Downstream DATA: Distance = 36 miles ; Time = 3 hrs ; Rate = b+c=d/t = 12 mph ------------------- EQUATIONS: b+c=12 b-c=8 -------- Add to get: 2b = 20 b = 10 mph (boat speed in still water) ---- Substitute to solve for "c": 10+c = 12 c = 2 mph (current speed) ============== Cheers, Stan H.