📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

  • google app store apple app store
  • ✖

      Question

      The speed of a boat in still water is 8 km/hr more than

      that of the current. The time taken by the boat to travel 288 km downstream and 96 km upstream, together is 24 hours. Find the speed of the boat in still water.
      A 24 km/hr Correct Answer Incorrect Answer
      B 12 km/hr Correct Answer Incorrect Answer
      C 20 km/hr Correct Answer Incorrect Answer
      D 16 km/hr Correct Answer Incorrect Answer

      Solution

      Let the speed of the current be ‘x’ km/hr
      Therefore, speed of the boat in still water = (x + 8) km/hr
      According to the question,
      {288/(x + x + 8)} + (96/8) = 24
      Or, 288/(2x + 8) + 12 = 24
      Or, 288/(2x + 8) = 12
      Or, 2x + 8 = 288/12 = 24
      Or, 2x = 24 − 8 = 16
      Or, x = 16/2 = 8
      Therefore, speed of the boat in still water = x + 8 = 16 km/hr

      Practice Next

      Relevant for Exams:

      ask-question