TRAIN

PROBLEMS BASED ON TRAIN

1.          The ratio between the speed of a bus and train is 15 : 27 respectively. Also, a car covered a distance of 720km   in 9 hours. The speed of the bus is three-fourth of the speed of the car. How much distance will the train cover  in 7 hours?

 (A) 760 km.            (B)756 km.               (C) 740 km.        (D)Can’t be determined          (E) None of these

2.          A 320 meter long train crosses a pole in 50 seconds. What is the speed of train?

(A) 4.6 m/sec          (B)7.2 m/sec            (C) 5.4 m/sec     (D)6.4 m/sec        (E) Can’t be determined

3.          A 320 meter long train crosses a platform of thrice of its length in 40 seconds. What is the speed of the train in km/hour?

(A) 120.6              (B)115.2                  (C) 108.4               (D)Can’t be determined       (E) None of these

  

4.          Find the speed of train in km/hr whose length is 200 m and crosses a platform of length of 240 m in 22 seconds?

(A) 60                   (B)48              (C) 53            (D)Data inadequate                 (E) None of these

5.          A 260 meter long train crosses a 120 meter long wall in 19 seconds. What is the speed of the train?

(A) 27 km/hr      (B)49 km/hr      (C) 72 km/hr               (D)70 km/hr     (E) None of these

6.          A train 100 m long passes a bridge at the rate of 72 km/h in 25 s. The length of the bridge is

(A) 150m          (B)400 m      (C) 300 m     (D)200 m              (E) None of these

7.          A train,  Travelling at the speed of 60 kmph, crosses a platform in 20 seconds. What is the length of the train?

(A) 333 meters   (B)300 meters    (C) 336 meters    (D)Can’t be determined       (E) None of these

8.          A 240 meters long train crosses a platform of twice of its length in 40 seconds. What is the speed of the train?

(A) 6 meter/sec.     (B)28 meter/sec.      (C) 18 meter/sec.       (D)16 meter/sec.        (E) None of these

9.          Train-A crosses a stationary train B in 35 seconds and a pole in 14 second with the same speed. The length of the train-A is 280 meters. What is the length of the stationary train-B?

(A) 360 meters        (B)480 meters       (C) 400 meters     (D)Can’t be determined   (E) None of these

10.       A 300 meter long train, moving with an average speed of 126 km/hr, crosses a platform in 24 seconds. A man crosses the same platform in 5 minutes. What is the speed of man in meter/second?

(A) 1.8 meter/second    (B)1.2 meter/second   (C) 1.5 meter/second  D)Can’t be determin  (E) None

11.       A 320 metre long train, moving with an average speed of 120 km/hr, crosses a platform in 24 seconds. A man crosses the same platform in 4 minutes. What is the speed of man in metre/second?

(A) 2.4        (B)1.5       (C) 1.6     (D)2.0       (E) None of these

12.       A 280 metre long train, moving with an average speed of 108 km/hr, crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man in metre/second?

(A) 5 m/s         (B)8 m/s       (C) 12 m/s    (D)Can’t be determined      (E) None of these

13.       A 320 meter long train takes 80 seconds more to cross a platform twice its length it takes to cross a pole at the same speed. What is the speed of the train in meter/second?

(A) 16             (B)10            (C) 6          (D)Can’t be determined         (E) None of these

14.       A 180-meter long train crosses another 270-meter long train running in the opposite direction in 10.8 seconds. If the speed of the first train is 60 kmph, then what is the speed of the second train in kmph?

(A) 80    (B)90    (C) 150  (D)Can’t be determined    (E) None of these

15.       Two train A and B of equal length of 200 meters running in opposite direction crosses each other in 16 seconds. What is the speed of train A?

(A) 90 kms/hr.   (B)40 kms/hr.      (C) 80kms/hr.     (D)Data inadequate        (E) None of these

16.       Two trains of lengths 190 m and 210 m respectively, are running in opposite directions on parallel tracks. If their speeds are 40 km/hr and 32 km/hr respectively, then in what time will they cross each other?

(A) 20 seconds     (B)25 seconds    (C) 30 seconds  (D)15 seconds        (E) None of these

17.       A train speeds past a pole in 20 seconds and speeds past a platform, 100 meters in length, in 30 seconds. What is the length of the train?

(A) 100 meter       (B)150 meter      (C) 180 meter      (D)200 meter     (E) None of these

18.       A train crosses a 300 metre long platform in 38 seconds while it crosses a signal pole in 18 seconds. What is the speed of the train in kmph?

(A) Can’t be determined       (B)72      (C) 48          (D)54     (E) None of these

19.       A 280 meters long train, travelling at a uniform speed, crosses a platform in 60 seconds and a man standing on the platform in 20 seconds. What is the length of the platform?

(A) 640 meters     (B)240 meters     (C) 280 meters   (D)Can’t be determined            (E) None of these

20.       A train with 90 km/hr crosses bridge in 36 seconds. Another train 100 meter shorter crosses the same bridge at 45 km/hr. Find the time taken by the second+ train to cross the bridge.

(A) 64 seconds      (B)55 seconds      (C) 68 seconds      (D)76 seconds     (E) None of these

21.       A train B speeding with 120 kmph, crosses another train C running in the same direction in 2 minutes. If the lengths of the trains B and C be 100 m and 200m respectively, then what is the speed (in kmph) of the train C?

(A) 111           (B)123            (C) 127  (D)129   (E) None of these

22.       Two trains of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each train is

(A) 50 m      (B)80 m         (C) 72 m            (D)82 m          (E) None of these

23.       When two trains were running in the same direction at 90 km/hr and 60 km/hr respectively, the faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train.

(A) 225 metre        (B)220 metre           (C) 228 metre         (D)180 metre    (E) None of these

24.       A train overtakes two persons who are walking in the same direction in which the train is going, rate of 2 kmph and 4 kmph, and passes them completely in 9 and 10 seconds respectively. The length of the train (in metres) is :

(A) 72           (B)54              (C) 50              (D)45       (E) None of these

25.       A 225 metre long train crosses a pole in 6 seconds. The same train crosses a man running in the same direction in 10 seconds. What will be the speed of man?

(A) 15 m/sec        (B)17 m/sec         (C) 18 m/sec           (D)14 m/sec      (E) None of these

26.       A train leaves Hyderabad at 7 a.m. travelling at 60 kmph. Another express train leaves Hyderabad one hour later, travelling at 120 km/hr. When and what distance from Hyderabad will they meet?

(A) At 10 a.m.; 120km         (B)At 9 a.m.; 120 km       (C) At 10 a.m.; 180 km

(D)At 9 a.m.; 180 km           (E) None of these

27.       A train 75 metre long overtook a man who was walking along the same direction at the rate of 6 km/hr and crossed him in 18 seconds. Again, the train overtook a second person in 15 seconds. At what rate was the second person travelling in the same direction?

(A) 3 km/hr.        (B)5 km/hr       (C) 2 km/hr.      (D)6 km/hr.     (E) None of these

28.       A train running at the speed of 20 meters/second crosses a pole in 24 seconds less than the time it requires to cross a platform of thrice of its length at the same speed. What is the length of the train?

(A270meters        (B)340 meters     (C) 180 meters   (D)Can’t be determined    (E) None of these

29.       A train running between two stations A and B arrives at its  destination 10 min late when its speed is 50 km/h and 50 min late when its speed is 30 km/h. What is the distance between the stations A and B?

(A) 40 km         (B)50 km         (C) 60 km        (D)70 km      (E) None of these

30.       Two train, 130 m and 110 m long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite direction, then they pass other completely in 3 seconds. Find the speed of slower Trains.

(A) 40 meter/sec              (B)35 metre/sec    (C) 38 metre/sec      (D)42 metre/sec      (E) None of these

31.       A nonstop train travels with the rate of 90 km/hr while another train travels with the rate of 75 km/hr stopping on its stoppage in the same journey. How many minutes per hour does the second train stop?

(A) 15 min.         (B)20 min.    (C) 10 min.    (D)12 min.     (E) None of these

32.       A train covered a journey with 80 km/hr regularly. But another train covered same Journey at the rate of 60 km/hr. stopping on its stoppage. How many minutes per hour does it stop?

(A) 15 min.          (B)20 min.    (C) 10 min.    (D)12 min.     (E) None of these

33.       A train ravels at   of it usual speed and reaches the destination in 22 hours. Find the time saved if it goes at its usual speed.

(A) 15 hrs.      (B)14 hrs.        (C) 22 hrs.       (D)8 hrs.    (E) None of these

34.       The ratio of the speed of two trains is 3:4. They are running in the opposite direction on the parallel track. If each takes 3 sec. to cross a pole, then the time they take to cross each others.

           (A) 3 Sec.       (B)4 Sec     (C) 7 Sec.       (D)21 Sec.      (E) None of these

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

(A)160 m and 140 m        (B)140 m  and 160 m        (C)180 m and 160 m      (D)140 m and 180 m     (E)None of these

36.      Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train ?

(A)23 m          (B)23 m      (C)27 m       (D)27 m       (E)None of these

37.      Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is :

(A)1 : 3             (B)3 : 2       (C)3 : 4      (D)4 : 3        (E)None of these

38.      Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet ?

(A)9 a.m.       (B)10 a.m.         (C)10:30 a.m.      (D)11 a.m.     (E)None of these

39.      A train X starts from Meerut at 4 p.m. and reaches Ghaziabad at 5 p.m. while another train Y starts from Ghaziabad at 4 p.m. and reaches Meerut at 5:30 p.m. The two trains will cross each other at :

(A)4:36 p.m.      (B)4:42 p.m.                     (C)4:48 p.m.                     (D)4:50 p.m.                (E)None of these

40.      Two trains, one from Howrah to Patna and the other Patna to Howrah, start simultaneously. After meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is :

(A)2 : 3          (B)4 : 3        (C)6 : 7        (D)9 : 16      (E)None of these

41.      A train covers a distance of 3584 km in 2 days 8 hours. If it covers 1440 km on the first day and 1608 km on the second day, by how much does the average speed of the train for the remaining part of the journey differ from that for the entire journey ?

(A)3 km/hr more          (B)3 km/hr less             (C)4 km/hr more          (D)5 km/hr less         (E)None of these

42.      A train travels 500 m in first minute. In the next 4 minutes, it travels in each minute 125 m more than that in the previous minute. The average speed per hour of the train during those 5 minutes will be :

(A)30 km/hr                  (B)45 km/hr                   (C)50 km/hr                  (D)55 km/hr               (E)None of these

43.      A moving train, 66 m long, overtakes another train of 88 m long moving in the same direction in 0.168 min. If the second train is moving at 30 km/hr, at what speed is the first train moving ?

(A)85 km/hr                 (B)50 km/hr                     (C)55 km/hr                 (D)25 km/hr               (E)None of these

44.      Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr and 40 km/hr respectively. The distance between the  two trains after 45 min will be ?

(A)2 km 500 m             (B)2 km 750 m                (C)3 km 750 m             (D)3 km 250 m            (E)None of these

45.      A train travelling at a speed of 55 km/hr travels from place X to place Y in 4 hours. If its speed is increased by 5 km/hr, then the time of journey is reduced by

(A)25 min                      (B)35 min                          (C)20 min                      (D)30 min                    (E)None of these

46.      P and Q are 27 km away. Two trains with speed of 24 km/hr and 18 km/hr respectively start simultaneously from P and Q and travel in the same direction. They meet at a point R beyond Q. Distance QR is

(A)126 km                      (B)81 km                           (C)48 km                       (D)36 km                    (E)None of these

47.      Two trains, A and B, start from stations X and Y towards Y and X respectively. After passing each other, they take 4 hours 48 min and 3 hours 20 min to reach Y and X respectively. If train A moving at 45 km/hr. Then the speed of the train B is

(A)60 km/hr                   (B)64.8 km/hr                   (C)54 km/hr                 (D)37.5 km/hr                 (E)None of these

48.      The distance between place A and B 999 km. An express train leaves place A at 6 am and runs at a speed of 55.5 km/hr. The train stops on the way for 1 hour 20 min. It reaches B at

         (A)1.20 am                    (B)12 pm                             (C)6 pm                        (D)11 pm                          (E)None of these