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      Question

      Saket and Rakesh are brothers whose shops are located at

      a distance of 10km and 12km respectively from their home. Both of them start at the same time from home every day and reach their respective shops exactly at 8 am. When they decided to swap shops for a day, Saket started 4 minutes earlier than Rakesh. If both of them reached on time, what is the speed of Rakesh?
      A 36km/hr Correct Answer Incorrect Answer
      B 40 km/hr Correct Answer Incorrect Answer
      C 54km/hr Correct Answer Incorrect Answer
      D 66 km/hr Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Since, ratio between distance covered by Saket and Rakesh = 10 : 12 = 5 : 6 тИ┤ Ratio between Speed of Saket and Rakesh = 5 : 6 Let speed of Saket and Rakesh be 5 x and 6 x respectively. тИ┤ ┬а12/5x - 10/6x ┬а= 4/60тЯ╣ (72-50 )/30x = 4/60 тЯ╣ 22/30x = 4/60тЯ╣ 60 ├Ч 22 = 120 x┬а тИ┤x = (60 ├Ч 22)/120 тИ┤ x = 11 тИ┤ Speed of Rakesh = 66 km/hr

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