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    A girl cycles at a speed of 12 km/h to her friend's house situated at a distance of 10 km from her house. She returns at a speed of 18 km/h. What is h
    Question

    A girl cycles at a speed of 12 km/h to her friend's house situated at a distance of 10 km from her house. She returns at a speed of 18 km/h. What is her average speed during the entire trip ?

    A.

    14.5 km/h

    B.

    15 km/h

    C.

    15.5 km/h

    D.

    16 km/h

    Correct option is A

    Time taken while going = Distance / Speed = 10 Km/12Km/h = 5/6 hours
    Time taken while returning = Distance / Speed = 10 Km/18 Km/h = 5/9 hours
    The total time for the trip is the sum of the time taken while going and returning:
    Total Time = (5/6) hours + (5/9) hours = 25/18 hours
    The average speed:
    Average Speed = Total Distance / Total Time
    = 20 Km/(25/18) hours
    = 20 km ×(18/25) hours = 14.4 Km/h

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