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the boat has a speed of 22 miles a hour in water. Upstream it takes 60 minutes and back it takes 40 minutes.D=represents distance 1 way and c is current stream.

A. What is the overall speed of the boat going upstream?
B. What is the overall speed of the boat doing down stream?
C. Write a system of equations that can be used to determine the speed of the stream's current.
D. What is the speed of the current? In other words, solve your system.
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1 Answer

C - Current Stream
D - 22 miles 
B  - Speed of boat in Still water.
 
 A, B, C .
 
 Upstream the speed opposing, and downstream they add.
  B  -  C = 22 miles/ 60 min= 11/30 miles/min / Speed upstream 
 
    B + C = 22 miles/ 40 min= 11/20 miles/min       / speed  downstream
   
    C. D,
          2 B = 11/30+ 11 /20 = 55/60 = 11/ 12 
           
         B = 11/24  miles/min   / speed of boat in still water
 
        C =   11/24 - 11/30 = 11/120 miles/ second 
 
          

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