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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 40km/hr Correct Answer Incorrect Answer
    C 54km/hr Correct Answer Incorrect Answer
    D 48km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Since they cover 10km and 12km in equal time, their speeds will be in the same ratio as their distance covered. Speed =`(Distance)/(Time)` = `10/12` =`5/6` Hence, `10/(6x)+4/60=12/(5x)` `x=11` Rakesh’s speed = 66 km/hr

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