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





                    (d)  An express train left Vadodara at 4:40 p.m. on Monday and reached Guwahati on
                        Thursday at 12:30 p.m. Find the total duration of the journey.

                    (e)  Keshav started his  job at the  age of 23 years 7 months.  Now, he is 52 years 2

                        months old. How long has he been in this job?

              multiplication and Division of Units of Time

              example 1:  Multiply 4 hours 15 minutes 30 seconds by 4.

              Solution:     Step 1:  Multiply 30 seconds by 4.                                          h   min    s
                                                                                                              2
                                       30 seconds × 4 = 120 seconds                                     4    15   30

                                       Convert 120 seconds into minutes and seconds.                ×               4
                                                                                                                  00
                                       120 seconds = 2 × 60 seconds = 2 minutes
                                         Carry 2 minutes to the minutes column and write 00 seconds in the

                                       seconds column.
                            Step 2:   Multiply  15  minutes  by  4  and  add  the  carry  over  2  minutes  to the

                                       product.                                                         h   min    s

                                       15 minutes × 4 + 2 minutes = 62 minutes.                         1    2
                                                                                                        4    15   30
                                       Convert 62 minutes into hours and minutes.                   ×              4

                                       62 minutes = 1 hour and 2 minutes                                     02   00
                                         Carry 1 hour to the hours column and write 2 minutes in the minutes

                                       column as a 2-digit number.

                            Step 3:   Multiply 4 hours by 4 and add the carry over 1 hour to the product.
                                       (4 × 4) hours + 1 hour = 17 hours.
                                                                                                        h   min    s
                                       Write 17 hours in the hours column.                              1     2
                                                                                                        4    15    30
                                       Thus, the required product is 17 h 02 min 00s.               ×               4
                                                                                                       17    02    00
              example 2:  Divide 16 hours 32 minutes 40 seconds by 5.

              Solution:     Step 1: Divide 16 hours by 5.                                                    3  hours
                                      Write 3 hours as  quotient and  1 hour  as                        5 16    hours

                                      remainder.                                                            15  hour
                                                                                                             1
                            Step 2: Convert the remainder 1
                                     hour into minutes and add
                                     32 minutes into it.

                                     60 minutes + 32 minutes =
                                     92 minutes


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