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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_11\Chap_11
                     \ 10-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                    example 4. Mr Vikash left for the office at 8:15 a.m. He took 50 minutes to reach the
                    office. When did he reach the office?
                    Solution. The total duration is 50 minutes. Let’s break this up

                    into parts and find the time as shown below:
                    50 minutes = 15 minutes + 30 minutes + 5 minutes
                    So,    8:15 a.m. + 15 minutes = 8:30 a.m.

                           8:30 a.m. + 30 minutes = 9:00 a.m.
                           9:00 a.m. + 5 minutes = 9:05 a.m.

                    Thus, Mr Vikash reached his office at 9:05 a.m.
                    example 5. A bus left Delhi at 4:25 p.m. and reached Agra 3 hours 35 minutes later.
                    At what time did the bus reach Agra?

                    Solution. 3 hours 35 minutes = 3 hours + 35 minutes
                    So,    4:25 p.m. + 3 hours = 7:25 p.m.

                    and  7:25 p.m. + 35 minutes = 8:00 p.m.
                    Thus, the bus reached Agra at 8:00 p.m.

                                Exercise 11D

                        1.  how much time has passed?

                           a.  From 2 o’clock to quarter past 3                                  ________ minutes
                           b.  From 2:30 to quarter to 4                                         ________ minutes
                           c.  From 3:20 to 4:50                                                 ________ minutes
                           d.  From quarter to 5 to half past 7                                  ________ minutes

                       2.  Find the finishing time.

                                        Starting time                    duration                    Finishing time
                           a.             8:25 a.m.                 55 minutes
                           b.             12:18 p.m.                1 hour 10 minutes
                           c.             6:45 a.m.                 2 hours 32 minutes
                           d.             9:09 p.m.                 3 hours 25 minutes
                           e.             8:55 p.m.                 1 hour 21 minutes

                       3.  Solve the following:
                           a.  An aeroplane leaves Chennai at 7:20 a.m. and reaches
                               Delhi at 9:05 a.m. How much time does it take to reach
                               Delhi?

                           b.  A football match started at 10:20 p.m. and ended at
                               12:05 a.m. How long did the match last?

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