SOLUTION: A boat takes 6 hours to go 30 miles upstream. It can go 72 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​ (Hint: B

Algebra ->  Equations -> SOLUTION: A boat takes 6 hours to go 30 miles upstream. It can go 72 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​ (Hint: B      Log On


   

Question 1107522: A boat takes 6 hours to go 30 miles upstream. It can go 72
miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​ (Hint: Because the current pushes the boat when it is going​ downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it is going​ upstream, so the rate of the boat upstream is the difference of the rate of the boat and the rate of the​ current.
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
------------------------------------------------------------------------
A boat takes 6 hours to go 30 miles upstream. It can go 72
miles downstream in the same time. Find the rate of the current and the rate of the boat in still water.​
---------------------------------------------------------------------- 

                 SPEED           TIME       DISTANCE

UPSTREAM         r-c              6          30

DOWNSTREAM       r+c              6          72

system%28r-c=30%2F6%2Cr%2Bc=72%2F6%29

system%28r-c=5%2Cr%2Bc=12%29

Easily solvable using Elimination Method.