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    Question

    Akshat and Saksham have two delivery points at

    distances 32 km and 48 km from their house. They left together and reached their points at 9:15 A.M. On another day, the delivery points were swapped, and Akshat started 40 minutes earlier than Saksham to reach on time. Find the speed of Akshat.
    A 35 km/hr Correct Answer Incorrect Answer
    B 20 km/hr Correct Answer Incorrect Answer
    C 40 km/hr Correct Answer Incorrect Answer
    D 28 km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Distance covered by Akshat and Saksham = 32 km and 48 km, respectively Since, both of them reached their respective places at same time Therefore, ratio of speeds of Akshat and Saksham = 32:48 = 2:3 Let the speeds of Akshat and Saksham be 2x km/hr and 3x km/hr, respectively Time taken by Akshat on the day of interchange = 48/(2x) hours Time taken by Saksham on the day of interchange = 32/(3x) hours According to the question, (48/(2x)) – (32/(3x)) = 40/60 Or, (24/x) − (32/(3x)) = 2/3 Or, (72 − 32)/(3x) = 2/3 Or, 40/(3x) = 2/3 Or, 40 = 2x Or, x = 20 Therefore, speed of Akshat = 2x = 40 km/hr

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