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      Question

      A boy goes to tuition at (5/7) of his normal walking

      speed and reaches 24 minutes late. Find his usual time to reach the tuition centre.
      A 25 mins Correct Answer Incorrect Answer
      B 60 mins Correct Answer Incorrect Answer
      C 44 mins Correct Answer Incorrect Answer
      D 75 mins Correct Answer Incorrect Answer

      Solution

      ATQ, When distance is constant, Time ∝ (1 / Speed) So, the ratio of usual time to new time = 5 : 7 Let the usual time = 5t minutes and the new time = 7t minutes. 7t – 5t = 24 β‡’ 2t = 24 β‡’ t = 12 Usual time = 5t = 5 Γ— 12 = 60 minutes

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