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A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current?

  • A.1 : 2
  • B.3 : 1
  • C.2 : 1
  • D.1 : 3

Answer: B

Let the speed of the boat in still water be 4 km/hr and speed of the current be u km/hr. 

 

Rate downstream = (u + v) km/hr. 

 

Rate upstream = (u- v)km/hr 

 

Let the distance covered in each case be x km. 

 

Then 2x/(u + v) = x / (u - v) 

 

=> 2 (u - v) = ( u + v)

 

=> u =3v 

 

=> u/v =3/1

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