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      Question

      A cyclist moving at (6/7) of his regular speed reaches

      his school 20 minutes late. Find the usual time he takes to reach school.
      A 120 mins Correct Answer Incorrect Answer
      B 180 mins Correct Answer Incorrect Answer
      C 144 mins Correct Answer Incorrect Answer
      D 175 mins Correct Answer Incorrect Answer

      Solution

      ATQ, When distance is constant, Time ∝ (1 / Speed) Ratio of usual time to new time = 6 : 7 Let usual time = 6t and new time = 7t. 7t – 6t = 20 β‡’ t = 20 Usual time = 6t = 6 Γ— 20 = 120 minutes

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