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    Excluding stoppages, the speed of a bus is 152 km/hr. and including stoppages, it is 114 km/hr. For how many minutes does the bus stop per hour?
    Question

    Excluding stoppages, the speed of a bus is 152 km/hr. and including stoppages, it is 114 km/hr. For how many minutes does the bus stop per hour?

    A.

    15 minutes

    B.

    9 minutes

    C.

    14 minutes

    D.

    10 minutes

    Correct option is A

    Given:

    Speed of the bus excluding stoppages = 152 km/hr.

    Speed of the bus including stoppages = 114 km/hr.

    Formula Used:

    Speed loss due to stoppages = Speed excluding stoppages - Speed including stoppages

    Time lost = Speed lossSpeed excluding stoppages×60 \frac{\text{Speed loss}}{\text{Speed excluding stoppages}} \times 60 Minutes​

    Time lost = Speed excluding stoppagesSpeed including stoppagesSpeed excluding stoppages×60\frac{\text{Speed excluding stoppages} - \text{Speed including stoppages}}{\text{Speed excluding stoppages}} \times 60 Minutes​

    Solution:

    Speed loss = 152 km/hr114 km/hr=38 km/hr152 \, \text{km/hr} - 114 \, \text{km/hr} = 38 \, \text{km/hr}​​

    Time lost = 38152×60=14×60=15 minutes\frac{38}{152} \times 60 = \frac{1}{4} \times 60 = 15 \, \text{minutes}​​

    Thus, the correct option is (a) 15 minutes

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