Page 180 - Math Genius C5
P. 180

E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_09
               \ 08-Oct-2025  Bharat Arora   Proof-9                                Reader’s Sign _______________________ Date __________





              Example 2:  Subtract the following:
                    (  a)  48 minutes 34 seconds from 54 minutes 20 seconds

                    (  b)  7 hours 54 minutes from 13 hours 22 minutes
              Solution:

                    (  a)  Step 1: Subtract seconds:
                                 There are not enough seconds.

                                 So, regroup minutes and seconds.                                           min    s
                                                                                                             53    80
                                 54 minutes 20 seconds = 53 minutes 80 seconds                               54    20
                                 Now, 80 seconds – 34 seconds = 46 seconds.                               – 48     34

                        Step 2: Subtract minutes:                                                             5    46
                                 53 minutes – 48 minutes = 5 minutes

                                 Thus, 54 minutes 20 seconds –  48 minutes 34 seconds
                                                 = 5 minutes 46 seconds.

                    (  b)  Step 1: Subtract minutes:
                                 There are not enough minutes.
                                                                                                             h
                                 So, regroup hours and minutes.                                              12   min
                                                                                                                   82
                                 13 hours 22 minutes = 12 hours 82 minutes                                   13    22
                                 Now,  82 minutes – 54 minutes = 28 minutes.                              –  7     54

                        Step 2: Subtract hours:                                                               5    28
                                 12 hours – 7 hours = 5 hours

                                 Thus, 13 hours 22 minutes – 7 hours 54 minutes = 5 hours 28 minutes.

              Example 3:  What time will it be at 3 hours 40 minutes after 6:30 p.m.?
              Solution:                                                                                      h    min
                                                                                                              1
                        Step 1: Convert 6:30 p.m. into the 24-hour clock.                                    18   30
                                 6:30 p.m. = 1830 hours = 18 hours 30 minutes                            +   3    40

                        Step 2: Add 3 hours 40 minutes and 18 hours 30 minutes.                              22   10
                                 Š 30 minutes + 40 minutes = 70 minutes

                                    70 minutes = 60 minutes + 10 minutes = 1 hour + 10 minutes
                                 Š  1 hour + 18 hours + 3 hours = 22 hours

                                 Thus, required time  = 22 hours 10 minutes  = 2210 hours = 10:10 p.m.

              Example 4:  Subtract 18 years 9 months from 23 years.                                   years Months
              Solution:     We have: 23 years = 23 years 00 months                                      22       12

                                                   = 22 years 12 months                             –   23      00
                                                                                                        18
                                                                                                                09
                            and 18 years 9 months = 18 years 09 months                                   4      03
                            Required difference = 4 years 3 months

             178                                                                                    Mathematics-5
             178
                                                                                                    Mathematics-5
   175   176   177   178   179   180   181   182   183   184   185