Page 173 - ICSE Math 5
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Addition, Subtraction, Multiplication and Division of Time

                    We can also perform the operations of addition, subtraction, multiplication and division on time.
                    Let's consider the following examples.

                    Example 7:  Add 6 h 40 min 35 s and 3 h 25 min 45 s.
                    Solution:         h      min       s
                                      1         1
                                      6       4  0    3  5
                                  + 3         2 5     4 5
                                     1 0      0 6     2 0


                                    In this example, 35 s + 45 s = 80 s which is more than 60 s.
                                  So, subtract 60 s (i.e., 1 min) from 80 s and carry over 1 to the minutes column.

                                  Similarly, 40 min + 25 min + 1 min = 66 min > 60 min.
                                  So, subtract 60 min (i.e., 1 h) from 66 min and carry over 1 to the hours column.

                                  So, 6 h 40 min 35 s + 3 h 25 min 45 s = 10 h 6 min 20 s.
                    Example 8:  Subtract 8 h 38 min 29 s from 15 h 26 min 15 s.

                    Solution:         h      min       s
                                              715             (60 + 25 = 85)
                                              8 5     6 15
                                      1 4     2 5     7 5     (60 + 15 = 75)
                                     1 5      2 6     1 5
                                  –    8      3 8     2 9

                                       6      4  7    4  6
                                    In this example, 15 s – 29 s is not possible. So, borrow 1 min (i.e., 60 s) from the
                                  minutes column and add to 15 s. Then subtract 29 s from it.

                                    25 min – 38 min is not possible. So, borrow 1 h (i.e., 60 min) from the hours column
                                  and add to 25 min. Then subtract 38 min from it.
                                  So, 15 h 26 min 15 s – 8 h 38 min 29 s = 6 h 47 min 46 s.

                    Example 9:  Multiply 3 h 14 min 9 s by 8.
                    Solution:           h       min       s                                      Remember
                                                3       7                                      To multiply time,
                                        3       1  4    0  9                                 first multiply seconds,

                                  ×                        8                                then minutes and finally
                                                                                                    hours.
                                     2 4      1 1 2     7 2

                                  Product  =  24 h + 112 min + 72 s = 24 h + 112 min + (60 + 12) s

                                            =  24 h + 112 min + 60 s + 12 s
                                            =  24 h + (112 min + 1 min) + 12 s    (since 60 s = 1 min)
                                            =  24 h + 113 min + 12 s = 24 h + (60 + 53) min + 12 s

                                            =  24 h + 60 min + 53 min + 12 s


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