Speed of boat in still water is 10kmph..if it travels 24km downstream,16km upstream in the same amount of time,what is the speed of the stream?

• Let the time be x.
  Speed in still water(u)=10km/hr,speed of stream(v)=?
  For downstream..
  24/x=10+v
  24=10x+vx ...(1)
  
  For upstream..
  16/x=10-v
  16=10x-vx ....(2)
  
  by (1)and (2)
  
  we get x=2
  
  and v=2
  so Ans is 2km/hr
  
  
• 11 years agoHelpfull: Yes(8) No(0)
• time=d/s
  time taken in downstream=time taken in upstream
  24/(10+v)=16/(10-v)
  solving this we get v=2
  now,downstream speed=(10+2)=12
  upstream speed=(10-2)=8
  rate of stream=(downstream speed-upstream speed)/2
  ans=2
• 10 years agoHelpfull: Yes(2) No(0)
• let the speed of stream is x kmph;
  than
  T1= 24/(x+10) time taken in downstream
  T2=16/(x-10) time taken in upstream,
  T1= T2,
  24/(x+10)= 16/(x-10);
  6x-60=4x+40;
  2x=100
  x= 50 kmph;
• 11 years agoHelpfull: Yes(1) No(3)
• t (10 - x )= 16 => t = 16/(10-x)
  t (10 + x) = 24 => t = 24/(10+x)
  
  => 16/(10-x) = 24/(10+x)
  160 + 16x = 240 - 24x
  
  40x = 80
  x=2 (speed of stream)
  
  ... And time, t = 2 hours
• 7 years agoHelpfull: Yes(0) No(0)
• If the speed in downstream is a km/hr and the speed in upstream is b km/hr then
  rate of stream or speed of stream =1/2(a-b)km/hr
  So here a is 24 km/hr
  b=16 km/hr
  So speed of stream =1/2(24-16)
• 7 years agoHelpfull: Yes(0) No(0)