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    A train is travelling at the rate of 45 km/h. How many seconds it will take to cover a distance of 45\tfrac{4}{5}54​​ km.
    Question

    A train is travelling at the rate of 45 km/h. How many seconds it will take to cover a distance of 45\tfrac{4}{5}​ km.

    A.

    64 seconds

    B.

    36 seconds

    C.

    9 seconds

    D.

    124 seconds

    Correct option is A

    Given:

    Speed of the train = 45 km/h

    Distance to be covered = 45\frac{4}{5}  km​

    Formula Used:

    Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}​​

    Solution:

    Time=4545 hours\text{Time} = \frac{\frac{4}{5}}{45} \text{ hours}​​

    =45×145 \frac{4}{5} \times \frac{1}{45}

    = 4225 hours\frac{4}{225} \text{ hours}​​

    Convert to seconds:

    =4225×3600\frac{4}{225} \times 3600​​

    =14400225\frac{14400}{225}​​

    =64 seconds

    Option (A) is right.

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