important example problems to be noted


(1)Find the time taken by a train 180m long,running at 72kmph in 
crossing an electric pole


Solution:
          Speed of the train =72*5/18m/s =20  m/s
          Distance move din passing the pole = 180m
          Requiredtime = 180/20 = 9 seconds


(2)A train 140 m long running at 60kmph.In how much time will it
pass a platform 260m long.


Solution:
          Distance travelled =140 + 260 m =400 m,
          speed = 60 *  5/18 = 50//3 m
          time=400*3   / 50 = 24 Seconds




(3)A man is standing on a railway bridge which is 180 m.He finds 
that a train crosses the bridge in 20 seconds but himself in
8 sec. Find the length of the train and its sppeed


Solution:
         i)D=180+x
                   T = 20 seconds
               S= 180+x / 20  ------------ 1
         ii)D=x
                   T=8 seconds
                   D=ST
                   x=8S        -------------  2
            Substitute 2 in 1
                S=180 + 8 S  / 20
                S=15 m/s
        Length of the train,x is 8 *15 = 120 m




(4)A train 150m long is running with a speed of 68 mphIn wht 
time will it pass a man who is running at a speed of 8kmph in 
the same direction in which the train is going


Solution:
         Relative Speed = 68-8=60kmph*5/18 = 50/3 m/s
                    time= 150 * 3   /50 =9sec


5)A train 220m long is running with a speed  of 59 k mph /..In 
what time will it pass a man who is running at 7 kmph in the 
direction opposite to that in which train is going.


Solution:
          Relative Speed = 59+7=66kmph*5/18 = 55/3 m/s
                     time= 220/55 * 3 =12sec

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