Hi

Let x represent the speed of the current

Question states*** Note: D/r = t, total time is 14hrs

  45/(7-x) + 45/(7+x) = 14hr

 45(7+x) + 45(7-x) = 14(49-x^2)

  14x^2 +630 - 686 = 0

    14x^2 =  56

      x^2 =  4

       x = 2   (tossing out negative solution)

Speed of the current is 2kmph



CHECKING our Answer***

 45/9 + 45/5 = 5hr + 9hr = 14hr 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 A barge moves at 7kmh in still waters.  If it travels 45 km up stream and 45 km downstream in a total of 14 hours.  What is the speed of the current?

--------------------

c = current

45/(7+c) + 45/(7-c) = 14

Can you finish it?



 

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