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               \ 12-Oct-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________





              Example 5:  The running time of a Vande Bharat train from New Delhi to Varanasi is 8 hours.
              If the train departs from New Delhi station at 6:15 a.m., at what time will it reach Varanasi?

              Solution:     The train will reach Varanasi 8 hours later than 6:15 a.m.
                            So, we add 8 hours to 6:15 a.m.
                            6:15 a.m.       =     06 hours 15 minutes

                            8 hours         = + 08 hours 00 minutes
                                            =           14 hours 15 minutes

                            14 hours 15 minutes = 2:15 p.m.

                            Thus, the train will reach Varanasi at 2:15 p.m.

                      Knowledge Desk

                     The Vande Bharat Train is the fastest train in India. The coaches of the train are fitted
                     with automatic sliding doors and all the coaches are interconnected. The first Vande
                     Bharat Train was flagged off on the New Delhi - Kanpur - Varanasi route on Feb 15, 2019.

              Example 6: Mayank’s school starts at 7:30 a.m. and closes at 2:15 p.m.
              Find the working hours of the school.                                                         school

              Solution:     Closing time of the school = 2:15 p.m.
                                                            = 1415 hours
                            Opening time of the school = 7:30 a.m. = 0730 hours                              h    min
                                                                                                                   75
                                                                                                             13
                            Working hours of the school = 1415 hours – 0730 hours                            14   15
                                                              = 0645 hours                                –   7   30
                                                              = 6 hours 45 minutes                           6    45
                            Thus, the working hours of the school is 6 hours 45 minutes.

              Example 7:  A train leaves Meerut station at 9:50 p.m. and reaches Kolkata at 5:30 a.m. the
              next day. Find the duration of the journey.                                                    h    min
              Solution:     Departure time of the train = 9:50 p.m. = 2150 hours                             23    60
                            Time interval from 9:50 p.m. to 12 midnight                                      24   00
                                                             = 2400 hours – 2150 hours                   – 21     50
                                                                                                             2
                                                                                                                  10
                                                             = 0210 hours
                                                             = 2 hours 10 minutes


                            Time interval from 12 midnight to 5:30 a.m., the next day
                                                    = 5 hours 30 minutes                                     h    min
                            So, total time taken = 2 h 10 min + 5 h 30 min                                   2    10

                                                     = 7 hours 40 minutes.                               +   5    30
                                                                                                             7
                                                                                                                  40
                            Thus, the duration of journey is 7 hours 40 minutes.

               Teacher’s   Discuss with the students that:  Starting time + Duration = Finishing time
                  Tip                                Finishing time – Duration = Starting time


              Mathematics-5                                                                                         179179
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