A train leaves Station P at 8:18 am and reaches Station Q at 10:28 pm on the same day. The time taken by the train to reach Station Q is

Options

A. 14 h 10 min
B. 14 h 46 min
C. 18 h 46 min
D. 13 h 10 min

Answer

To find the total time taken by the train to travel from Station P to Station Q, we can follow these steps:

**Step 1: Determine the departure and arrival times.**
- Departure time from Station P: 8:18 AM
- Arrival time at Station Q: 10:28 PM

**Step 2: Calculate the time from departure to the next hour.**
- From 8:18 AM to 9:00 AM is 42 minutes.

**Step 3: Count the full hours from 9:00 AM to 10:00 PM.**
- From 9:00 AM to 10:00 PM is 13 hours.

**Step 4: Calculate the time from 10:00 PM to the arrival time.**
- From 10:00 PM to 10:28 PM is 28 minutes.

**Step 5: Add all the time intervals together.**
- Total time taken = Time from 8:18 AM to 9:00 AM + Time from 9:00 AM to 10:00 PM + Time from 10:00 PM to 10:28 PM
- Total time taken = 42 minutes + 13 hours + 28 minutes

**Step 6: Convert minutes to hours if necessary.**
- 42 minutes + 28 minutes = 70 minutes
- 70 minutes = 1 hour and 10 minutes

**Step 7: Add the hours and minutes together.**
- Total hours = 13 hours + 1 hour = 14 hours
- Total minutes = 10 minutes

**Final Result:**
- The total time taken by the train is 14 hours and 10 minutes.

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