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    A metro train runs at a speed of 45 km/h. It covers a total distance of 72 km on its route from origin to destination station in 2 hours that includes
    Question

    A metro train runs at a speed of 45 km/h. It covers a total distance of 72 km on its route from origin to destination station in 2 hours that includes stops at intermediate stations. If it stops for 2 minutes at each station, how many intermediate stations are there in the route?

    A.

    24

    B.

    18

    C.

    12

    D.

    9

    Correct option is C

    Given:
    Speed of train = 45 km/h
    Total distance = 72 km
    Total time (including stops) = 2 hours
    Time without stops = 72/45 = 1.6 hours = 1 hour 36 minutes
    Total time taken = 2 hours = 120 minutes

    Solution:

    Extra time due to stops=12096=24 minEach stop is 2 min=>Number of stops=242=12\begin{aligned}&\text{Extra time due to stops} = 120 - 96 = 24 \text{ min} \\&\text{Each stop is 2 min} \Rightarrow \text{Number of stops} = \frac{24}{2} = \boxed{12}\end{aligned}

    Final Answer: 12

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