At the railway station
 




(a) What time is the train expected to come today?
(b) Nazia gets off at a station after 2 1 2 hours from this station. What time will she get off?
(c) Shaji will take 5 hours to reach Ernakulam by this train. At what time will he reach there?

a) The correct time for the arrival of the train is quarter to 7

                                                                           = 634  hrs

But, the train is late by half an hour.

So, expected time of the arrival of the train = 634 + 12

                                                                       = 274 + 12

                                                                       = 274 + 1 × 22 × 2
                                                                         = 274 + 24

                                                                       = 294
                                  
                                                                       = 714

    Thus, the expected time of the arrival of the train is quarter past 7.


b) Expected time of the arrival of the train = 714 hrs

    Nazia gets off at a station after  212 hrs of boarding the train.

    Time at which Nazia will get off = 714 + 212

                                                        = 294 + 52

                                                        = 294 + 5 × 22 × 2

                                                        = 294 + 104

                                                        = 29 + 104

                                                        = 394
 
                                                        = 934

   Thus, Nazia will get off from the train at quarter to 10.

c) Shaji will reach Ernakulam by this train after 5 hours.

    Expected time of the arrival of the train                    = 714 hrs

    Expected time at which Shazi will reach Ernakulam = 714 + 5

                                                                                         = 294 + 51

                                                                                         = 294 + 5 × 41 × 4

                                                                                         = 294 + 204

                                                                                         = 29 + 204

                                                                                         = 494

                                                                                         = 1214

Thus, Shazi will reach Ernakulam at quarter past 12.

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