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      Question

      A boat travelled for the first 90 km at a certain speed

      in 3 hours. After that, the speed of the boat decreased by 2 km/h. If the boat took a total of 5 hours to reach its destination, then find the total distance travelled by the boat.
      A 100 km Correct Answer Incorrect Answer
      B 146 km Correct Answer Incorrect Answer
      C 166 km Correct Answer Incorrect Answer
      D 165 km Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Speed of the boat by which it travelled 90 km = 90/3 =30 km/h Time taken to cover the remaining distance = 5 - 3 = 2 hours Decreased speed of the boat = 30 - 2 = 28 km/h Distance travelled with decreased speed = 28 × 2 = 56 km Therefore, required distance = 90 + 56 = 146 km

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