In a stream running at 2 kmph, a motorboat goes 6 km upstream and back again to the starting
point in 33 minutes. Find the speed of the motorboat 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 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.
• 11 years agoHelpfull: Yes(44) No(7)
• 6/(x+2) + 6(x-2)=33/60
  find the value of x.
• 8 years agoHelpfull: Yes(1) 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
• 7 years agoHelpfull: Yes(0) No(0)