in a stream running at 2 kmph,a motor boat goes 6 km upstream and back again to the starting point in 33 minutes.find the spead of motor boat in still water

• Let the speed of the motorboat in still water be x kmph.
  Then, speed downstream = (x + 2) kmph.
  Speed upstream = (x - 2) kmph.
  :. 6/(x + 2) + 6/(x - 2) = 33/60 0r 11X^2 – 240x – 44=0
  11X^2 – 242X + 2X –44 =0 or 11x(x – 22) + 2(x – 22) = 0
  or (x-22)(11x+2)=0 or x=22.
  :. Speed of motorboat in still water = 22 kmph.
• 12 years agoHelpfull: Yes(25) No(0)
• Let the speed of the motorboat in still water be x kmph.
  Then, speed downstream = (x + 2) kmph.
  Speed upstream = (x - 2) kmph.
  :. 6/(x + 2) + 6/(x - 2) = 33/60 0r 11X2 – 240x – 44=0
  11X2 – 242X + 2X –44 =0 or 11x(x – 22) + 2(x – 22) = 0
  or (x-22)(11x+2)=0 or x=22.
  :. Speed of motorboat in still water = 22 kmph.
• 12 years agoHelpfull: Yes(2) No(0)