41.  A train 100 m long is running at the speed of 30 km/hr.Find the time taken by it to pass a man standing near the railway line?


12 sec
14 sec
13 sec
10 sec


Answer

 Option

Speed of the train = ( 30*5/18) m/sec = (25/3) m/sec Distance moved in passing standing man = 100m Required time taken = 100/(25/3) = (100*3/25) sec = 12 seconds

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42.  A jogger running at 9kmph alongside a railway track is 240 meters ahead of the engine of a 120 meter long train running at 45 km/hr in the same direction.In how much time will the train pass the jogger?


3.6 sec
18 sec
36 sec
72 sec


Answer

 Option

Speed of the train relative to jogger =( 45-9) km/hr = 36 km/hr = (36*5/18) m/sec = 10 m/sec Distance to be covered = (240+120)m =360 m Time taken =(360/10) sec = 36 sec

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43.  A train 150m long is running with a speed of 68 km/hr.In what time will it pass a man who is running at 8 km/hr in the same direction in which the train is going?


5 sec
8 sec
6 sec
9 sec


Answer

 Option

Speed of the train relative to man = ( 68-8)km/ph = (60*5/18)m/sec = (50/3) m/sec Time taken by the train to cross the man Time taken by it to cover 150 m at (50/3) m/sec = (150*3/50) sec = 9 seconds

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44.  A train 125m long passes a man running at 5 km /ph in the same direction in which the train is going in 10 seconds.The speed of the train is?


40 km/hr
50 km/hr
54 km/hr
55 km/hr


Answer

 Option

Speed of the train relative to man = (125/10) m/sec =(25/2) m/sec =(25/2*18/5) km/hr =45km/hr Let the speed of the train be x km/ph. Then relative speed = (x-5) km/ph x-5 =45 X= 45+5 =50 km/hr

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


16 sec
14 sec
12 sec
15 sec


Answer

 Option

Speed of the train relative to man = (59+7) km/ph = (66*5/18)m/sec = (55/3) m/sec Time taken by the train to cross the man Time taken by it to cover 220 m at (55/3)m/sec = (220*3/55) sec =12 sec.

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