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Calculate the elapsed time for the given start and end times, filling in the missing values in the table.

Mathematics

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Answers

4 parts
i

2 hours 30 minutes\text{2 hours 30 minutes}

ii

6 hours 45 minutes\text{6 hours 45 minutes}

iii

13 hours 15 minutes\text{13 hours 15 minutes}

iv

11:48 p.m.\text{11:48 p.m.}

Step-by-step solution

14 steps

Here is the completed table with the missing values:

S.No.Start TimeEnd TimeElapsed Time
(i)10:45 a.m.1:15 p.m.2 hours 30 minutes
(ii)4:30 p.m.11:15 p.m.6 hours 45 minutes
(iii)2:00 p.m.3:15 a.m.13 hours 15 minutes
(iv)9:32 p.m.11:48 p.m.2 hours 16 minutes
(v)2:33 a.m.8:47 a.m.6 hours 14 minutes

Here are the step-by-step calculations for each part:

Part i· 3 steps

Calculate Elapsed Time

Start Time: 10:45 a.m.
End Time: 1:15 p.m.

  1. Calculate the time from 10:45 a.m.

    to 12:00 p.m. (noon).

    12 hours 00 minutes−10 hours 45 minutes12 \text{ hours } 00 \text{ minutes} - 10 \text{ hours } 45 \text{ minutes} =(11 hours 60 minutes)−(10 hours 45 minutes)= (11 \text{ hours } 60 \text{ minutes}) - (10 \text{ hours } 45 \text{ minutes}) =1 hour 15 minutes= 1 \text{ hour } 15 \text{ minutes}

  2. Calculate the time from 12:00 p.m.

    to 1:15 p.m.

    1 hour 15 minutes1 \text{ hour } 15 \text{ minutes}

  3. Add the times from Step 1 and Step 2.

    1 hour 15 minutes+1 hour 15 minutes=2 hours 30 minutes1 \text{ hour } 15 \text{ minutes} + 1 \text{ hour } 15 \text{ minutes} = \boxed{\text{2 hours 30 minutes}}

Part ii

6 hours 45 minutes\text{6 hours 45 minutes}

Calculate Elapsed Time

Start Time: 4:30 p.m.
End Time: 11:15 p.m.

  1. Convert times to 24-hour format for easier subtraction.

    Start Time: 4:30 p.m. = 16:30
    End Time: 11:15 p.m. = 23:15

  2. Subtract the start time from the end time.

    Since 15 minutes is less than 30 minutes, borrow 1 hour (60 minutes) from the hours.

    23 hours 15 minutes=22 hours (15+60) minutes=22 hours 75 minutes23 \text{ hours } 15 \text{ minutes} = 22 \text{ hours } (15+60) \text{ minutes} = 22 \text{ hours } 75 \text{ minutes}

    Now subtract:

    (22 hours 75 minutes)−(16 hours 30 minutes)(22 \text{ hours } 75 \text{ minutes}) - (16 \text{ hours } 30 \text{ minutes}) =(22−16) hours (75−30) minutes= (22-16) \text{ hours } (75-30) \text{ minutes} =6 hours 45 minutes= \boxed{\text{6 hours 45 minutes}}

Part iii

13 hours 15 minutes\text{13 hours 15 minutes}

Calculate Elapsed Time

Start Time: 2:00 p.m.
End Time: 3:15 a.m. (next day)

  1. Calculate the time from 2:00 p.m.

    to 12:00 a.m. (midnight).
    2:00 p.m. is 14:00 in 24-hour format. Midnight is 24:00.

    24 hours 00 minutes−14 hours 00 minutes=10 hours 00 minutes24 \text{ hours } 00 \text{ minutes} - 14 \text{ hours } 00 \text{ minutes} = 10 \text{ hours } 00 \text{ minutes}

  2. Calculate the time from 12:00 a.m.

    to 3:15 a.m.

    3 hours 15 minutes3 \text{ hours } 15 \text{ minutes}

  3. Add the times from Step 1 and Step 2.

    10 hours 00 minutes+3 hours 15 minutes=13 hours 15 minutes10 \text{ hours } 00 \text{ minutes} + 3 \text{ hours } 15 \text{ minutes} = \boxed{\text{13 hours 15 minutes}}

Part iv

11:48 p.m.\text{11:48 p.m.}

Calculate End Time

Start Time: 9:32 p.m.
Elapsed Time: 2 hours 16 minutes

  1. Add the hours.

    9 hours+2 hours=11 hours9 \text{ hours} + 2 \text{ hours} = 11 \text{ hours}

  2. Add the minutes.

    32 minutes+16 minutes=48 minutes32 \text{ minutes} + 16 \text{ minutes} = 48 \text{ minutes}

  3. Combine the hours and minutes.

    The end time is 11:48 p.m.\boxed{\text{11:48 p.m.}}

Part v· 3 steps

Calculate Start Time

End Time: 8:47 a.m.
Elapsed Time: 6 hours 14 minutes

  1. Subtract the minutes from the end time.

    47 minutes−14 minutes=33 minutes47 \text{ minutes} - 14 \text{ minutes} = 33 \text{ minutes}

  2. Subtract the hours from the end time.

    8 hours−6 hours=2 hours8 \text{ hours} - 6 \text{ hours} = 2 \text{ hours}

  3. Combine the hours and minutes.

    The start time is

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