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              \\November 3, 2023 12:46 PM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                5.  What time was it:
                    (a)  4 h before 1:30 p.m.?                       (b)  7 h 25 min before 3:20 p.m.?

                6.  Find the time interval between 7:25 a.m. and 3:10 p.m.
                7.  Solve the following word problems.

                    (a)  Shaneya's school starts at 7:45 a.m. and closes at 1:30 p.m. Find her school hours.
                    (b)  A shop  opens  at  10:30  a.m.  and  closes at  7:00  p.m.  How long  does the  shop
                        remains open?

                    (c)  A  bus  leaves the  bus  stop at 5:30  a.m.  and  reaches its  destination  at 7:45  p.m.
                        Find the time duration of the journey.
                    (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
                                       120 seconds = 2 × 60 seconds = 2 minutes                                   00
                                         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

                                       Convert 62 minutes into hours and minutes.                   ×   4    15   30
                                                                                                                   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

                                       Thus, the required product is 17 h 02 min 00s.                   4    15    30
                                                                                                    ×               4
              Example 2:  Divide 16 hours 32 minutes 40 seconds by 5.                                  17    02    00

              Solution:     Step 1: Divide 16 hours by 5.                                                    3  hours

                                      Write 3 hours as  quotient and  1 hour  as                        5 16    hours
                                      remainder.                                                            15
                                                                                                             1  hour


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