SOLUTION: A boat traveled 210 miles downstream and back.The trip downstream took 10 hours.T he trip back took 70 hours What is the speed of the boat in still water? What is the speed of the

Algebra ->  Equations -> SOLUTION: A boat traveled 210 miles downstream and back.The trip downstream took 10 hours.T he trip back took 70 hours What is the speed of the boat in still water? What is the speed of the       Log On


   



Question 1065293: A boat traveled 210 miles downstream and back.The trip downstream took 10 hours.T he trip back took 70 hours What is the speed of the boat in still water? What is the speed of the current?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A boat traveled 210 miles downstream and back.The trip downstream took 10 hours.T he trip back took 70 hours What is the speed of the boat in still water? What is the speed of the current?
----------------------
Downstream DATA:
dist = 210 miles ; time = 10 hrs ; rate = d/t = 21 mph
-------------------------
Upstream DATA:
dist = 210 miles ; time = 70 hrs ; rate = 210/70 = 3 mph
-----
Equations:
b + c = 21 mph
b - c = 3 mph
-----
Add and solve for "b"::
2b = 24 mph
boat speed in still water = 12 mph
-----
Subtract and solve for "c"::
2c = 18 mph
current speed = 9 mph
-----------------
Cheers,
Stan H.
-----------