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              \\November 23, 2023 10:50 AM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                    (b)  Step 1:  Add minutes:
                                 34 minutes + 47 minutes = 81 minutes                                        h    min

                                 81 minutes = 60 minutes + 21 minutes                                        1
                                           = 1 hour 21 minutes            (   1 hour = 60 minutes)       +   6    34
                                                                                                                  47
                                                                                                             8
                        Step 2: Add hours:                                                                   15   21
                                 1 hour + 6 hours + 8 hours = 15 hours

                                  6 hours 34 minutes + 8 hours 47 minutes = 15 hours 21 minutes
              example 2:  Subtract the following:

                    (a)  48 minutes 34 seconds from 54 minutes 20 seconds

                    (b)  7 hours 54 minutes from 13 hours 22 minutes
              Solution:


                    (a)  Step 1: Subtract seconds. There are not enough seconds.
                                                                                                            min    s
                                 So, regroup minutes and seconds.
                                                                                                             53    80
                                 54 minutes 20 seconds = 53 minutes 80 seconds                               54    20

                                 Now, 80 seconds – 34 seconds = 46 seconds                                – 48     34

                        Step 2: Subtract minutes:                                                             5    46
                                 53 minutes – 48 minutes = 5 minutes
                                 54 minutes 20 seconds –  48 minutes 34 seconds = 5 minutes 46 seconds

                    (b)  Step 1:  Subtract minutes. There are not enough minutes.
                                                                                                             h    min
                                 So, regroup hours and minutes                                               12    82
                                 13 hours 22 minutes = 12 hours 82 minutes                                   13    22

                                 Now,  82 minutes – 54 minutes = 28 minutes                               –  7     54
                                                                                                              5
                                                                                                                   28
                        Step 2: Subtract hours: 12 hours – 7 hours = 5 hours
                                 13 hours 22 minutes – 7 hours 54 minutes = 5 hours 28 minutes
              example 3:  What time will it be at 3 hours 40 minutes after 6:30 p.m.?

              Solution:                                                                                      h    min
                                                                                                              1
                        Step 1: Convert 6:30 p.m. into 24-hour clock.                                        18   30
                                 6:30 p.m. = 1830 hours = 18 hours 30 minutes                            +   3    40
                        Step 2: Add 3 hours 40 minutes and 18 hours 30 minutes.                              22   10

                                 Š   30 minutes + 40 minutes = 70 minutes
                                     70 minutes = 60 minutes + 10 minutes = 1 hour + 10 minutes

                                 Š  1 hour + 18 hours + 3 hours = 22 hours
                        Step 3: Required time  = 22 hours 10 minutes  = 2210 hours = 10:10 p.m.





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