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    A bus leaves at 12.25 noon and reaches destination at 10.45 am . The duration of the journey is ________
    Question

    A bus leaves at 12.25 noon and reaches destination at 10.45 am . The duration of the journey is ________

    A.

    22 hours 20 minutes

    B.

    22 hours 40 minutes

    C.

    24 hours 20 minutes

    D.

    24 hours 40 minutes

    Correct option is A

    Given:

    • Departure time: 12:25 noon
    • Arrival time: 10:45 AM (next day)

    We need to calculate the duration of the journey.

    Step 1: Break the Time into Two Parts

    1. Time from 12:25 PM (noon) to midnight:
      There are 121212 hours from noon to midnight. Subtract 25 minutes:

      12:00−12:25=11hours and35minutes.12:00 - 12:25 = 11 \, \text{hours and} \, 35 \, \text{minutes}.12 00 − 12 25 11 hours and 35 minutes.
    2. Time from midnight to 10:45 AM:
      This is straightforward:

      10hours and45minutes.10 \, \text{hours and} \, 45 \, \text{minutes}.10 hours and 45 minutes.

    Step 2: Add the Two Time Periods

    • 11hours and35minutes11 \, \text{hours and} \, 35 \, \text{minutes}11 hours and 35 minutes
    • 10hours and45minutes10 \, \text{hours and} \, 45 \, \text{minutes}10 hours and 45 minutes

    Add the hours and minutes:

    1. Hours: 11+10=2111 + 10 = 2111 10 21
    2. Minutes: 35+45=8035 + 45 = 8035 45 80

    Since 80minutes=1hour and20minutes80 \, \text{minutes} = 1 \, \text{hour and} \, 20 \, \text{minutes}80minutes=1hour and20minutes, we add 1 hour to the total hours:

    21+1=22hours21 + 1 = 22 \, \text{hours}21 22 hours

    Thus, the total duration is:

    22hours and20minutes.22 \, \text{hours and} \, 20 \, \text{minutes}.22 hours and 20 minutes.

    Final Answer:

    The duration of the journey is 22 hours and 20 minutes.

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