TRAINS

BY MSR SIR
Formulas
1.Train Vs stationary object of no length : If a train pass a pole /standing man/a
tree/a building
Length of the train=Speed of the train x Time
2. Train Vs stationary object of certain Length: If a train pass a bridge /
a platform.
Lenth of Train+ Lenth of Bridge = Speed x Time
3. Two trains with speeds x km/hr and y km/hr.
i) If two trains are in the same direction:
Sum of the lengths of the two Trains = (x-y) x time
ii) If two Trains are in the opposite direction:
sum of the lengths of the two trains=(x+y)x Time
1.A train of length 200mts running at speed of 72 kmph . How much
time it will take to cross a standing man
1)10 sec 2)20 sec 3)15 sec 4) 12 sec
2.A train 300mts long running at a speed of 60 kmph . Find the time
taken by it to cross a Bridge of length 250mts .
1)30 sec 2)33 sec 3)10 sec 4)13 sec
3. A train passes a stationary pole in 8 seconds. The train also passes a 200 m long bridge in 28
seconds. What is the length and the speed of the train?
A.80m ,40m/sec B.80m , 50m/sec C.80m, 10m/sec D.None
3A).A train travelling at constant speed crosses platform of length 100mts in 10sec and
another bridge of length 200mts in 14sec then find the length of the train . (in mts)
1)150 2)100 3)175 4)125
4. A train of length 150mts running at a speed of 46kmph is crossing another train of length
100mts running at a speed of 28kmph in same direction . Then find the time taken to cross it .
(in sec)
1)12.5 2)25 3)50 4)15
5.Two trains are running at a parallel tracks in the same direction with the speeds 36,60
kmph . The faster train crosses , a man in the slower train in 24 sec. Find the length of the
faster train ? (in mts)
1)100 2)150 3)160 4)200
6.Two trains 100m , 150m long are running on opposite directions with the speeds 40 ,50
kmph .In what time they cross each other ? (in sec)
1)15 2)10 3)20 4)5
7.A train 110 meters long is running with a speed of 60kmph . In what time will it pass a man
who is running at 6 kmph in the direction opposite to that in which the train is going ?(in sec )
1)5 2)6 3)7 4)10
8.Two trains 100m , 95m long respectively cross each other in 27sec When they run in the
same direction and 9 sec when they run in the opposite direction . Find the speeds of 2
trains ?
1)52,26 2)56,22 3)60,18 4)64,26
9. There are 2 trains P and Q moving in same direction. They are of equal length and cross a
stationary pole in 5 seconds and 6 seconds respectively. In how much time
would they cross each other?
1.50sec 2.60sec 3.45sec 4.90sec
10. Ahilyanagari Express running at a speed of 60 kmph and Cholan express at 120
kmph take 10 seconds to cross each other, when they are running in opposite directions
(these two trains operate in the same route only as a mathematical fantasy and not in
reality). If Cholan express is 120 meters longer than Ahilyanagari Express. What's
the length in meters of the Ahilyanagari express?
1.170m 2.190m 3.210m 4.250
11. A train overtakes two boys, who are running at 8 km/hr and 16 km/hr in the same
direction as the train. The train completely passes them in 36 seconds and 40 seconds
respectively. What is the length of the train?
A) 50 m B) 100 m C) 800 m D) 200 m
*Two trains X and Y. One Train starts from station A to station B. At
the same time another train starts from station B to station A.
After passing each other, they complete their journey in 4 hours 12
minutes and hours respectively. What is the speed of train, if
speed train X is 70 km/hr.
1.50 kmph
2.49 kmph
3.98 kmph
4.86 kmph
9.Two trains speed ratio is 10:9 the time taken by them , to cross a
pole is in the ratio 4:3 . If the difference between their lengths is
156 . Then find the length of the smaller train ? (in mts)
1)450 2)360 3)324 4)320
10.The train A speed is 54 kmph more than the train B, but length
of train B is 40% more than length of train A . They cross each
other in 72 sec when they move in the same direction find the
length of train B ? (in mts)
1)630 2)640 3)530 4)540
11.Two trains , one from Howrah to Patna and the other from
Patna to Howrah , start simultaneously . After they meet , the
trains reach their destinations after 9 hours and 16 hours
respectively . The ratio of their speeds is
1)2:3 2)4:3 3)6:7 4)9:16