41.  A man sitting in a train which is traveling at 50 km/hr observes that a good train traveling in opposite direction takes 9 seconds to pass him. If the goods train is 280 m long find its speed?


65 km/hr
60 km/hr
64 km/hr
62 km/hr


Answer

 Option

Relative speed =(280/9) m/sec = (280/9*18/5) km/hr = 112 km/hr Hence speed of the goods train =(112 - 50) = 62km/hr

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42.  A train running at 54 km/ph takes 20 seconds to pass a platform.Next it takes 12 seconds to pass a man walking at 6km/ph in the same direction in which the train is going.Find the length of the train and the length of the platform?


135 m
142 m
140 m
138 m


Answer

 Option

Let the length of the train be X meters and length of platform be Y meters. Speed of the train relative to man = (54-6) km/ph =48 km/ph = (48*5/18)m/sec = 40/3 m/sec In passing a man the train covers its own length with relative speed. Length of train =(relative speed * time) = (40/3*12)m =160m Also speed of the train =(54*5/18)m/sec = 15 m/sec Hence x+y/15 =20 x+y = 300 y= (300 -160) m = 140 m

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43.  A train 100 meters long take as 6 seconds to cross a man walking at 5 km/hr.In a direction opposite to that of the train.Find the speed of the train?


57 km/hr
55 km/hr
48 km/hr
50 km/hr


Answer

 Option

Let the speed of the train be X km/hr Speed of the train relative to man = (X+5) km/hr = (X+5) * 5/18 m/sec 100/(X+5)*5/18 = 6 30(X+5) = 1800 = X=55 Speed of the train is 55 Km/ph

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44.  Two trains 100 meters and 120 meters long are running in the same direction with speed of 72 km/hr and 54 km/hr in how much time will the first train cross the second?


44 sec
46 sec
42 sec
48 sec


Answer

 Option

Relative speed of the trains = (72-54 = 18 km/hr) = (18*5/18) m/sec = 5m /sec Time taken by the trains to cross each other = Time taken to cover (100+120)m at 5 m/sec = (220/5)sec = 44 sec

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45.  Two trains 137 meters and 163 meters in length are running towards each other on parallel lines, one at the rate of 42 km/hr and another at 48 km/hr. In what time will they be clear of each other from the moment they meet?


10 seconds
12 seconds
15 seconds
20 seconds


Answer

 Option

Relative speed of the trains = (42+48) km/hr = 90km/hr = (90*5/18) m/sec = 25 m/sec time taken by the trains to pass each other = Time taken to cover (137+163)m at 25 m/sec = (300/25) sec = 12 seconds.

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