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.

Question

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.

Answer 1

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