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      Question

        Harsh covers a certain distance with his own speed,

      but when he reduces his speed by 20 km/hr his time duration for the journey increases by 80 hrs, while if he increases his speed by 10km/hr from his original speed he takes 20hrs less than the original time taken. What is the distance covered by him?
      A 6000km Correct Answer Incorrect Answer
      B 1500km Correct Answer Incorrect Answer
      C 3000km Correct Answer Incorrect Answer
      D 2000km Correct Answer Incorrect Answer
      E 4500km Correct Answer Incorrect Answer

      Solution

      Let distance be x km and speed be y km/hr x/(y - 20) - (x/y) = 80     x = 4y(y - 20)  .............(1) (x/y) - x/(y + 10) = 20 x = 2y(y + 10)  ..............(2) From (1) and (2), we get 4y(y - 20) = 2y(y + 10) 2y - 40 = y + 10 y = 50 km/hr Then x =2  × 50  (50 + 10) = 100  × 60  = 6000 km  

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