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Home › Grade8 › OLYMPIAD › Math Olympiad-Grade-8 › Problems on Trains › Problems on Trains Worksheet-4

Problems on Trains Worksheet-4

Problems on Trains Worksheet-4

 

  1. A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds? What is the length of the other train ?

(a) 230 m          (b) 240 m          (c) 260 m          (d) 320 m

(e) None of these

 

  1. Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km / hr) is:

(a) 10                  (b) 18                  (c) 36                  (d) 72

 

  1. Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction ?

(a) 10                  (b) 12                  (c) 15                   (d) 20

 

  1. A train 108 m long moving at a speed of 50 km / hr crosses a train 112 m long coming from

opposite direction in 6 seconds. The speed of the second train is

(a) 48 km/hr                                 (b) 54 km/hr   

(c) 66 km/hr                                 (d) 82 km/hr

 

  1. A train X speeding with 120 kmph crosses another train Y, running in the same direction, in 2 minutes. If the lengths of the trains X and Y be 100 m and 200 m respectively, what is the speed of train Y ?

(a) 111 km/hr                                 (b) 123 km/hr

(c) 127 km/hr                                (d) 129 km/hr

 

  1. Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds. The length of the faster train is :

(a) 80 m            (b) 100 m          (c) 120 m           (d) 180 m

 

  1. 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)  m         (c) 27 m             (d) m

 

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

(a) 45 m             (b) 50 m             (c) 54 m             (d) 72 m

 

  1. A train overtakes two persons walking along a railway track. The first one walks at 4.5 km/hr.

The other one walks at 5.4 km/hr. The train needs 8.4 and 8.5 seconds respectively to overtake

them. What is the speed of the train if both the persons are walking in the same direction as the

train ?

(a) 66 km/hr    (b) 72 km/hr    (c) 78 km/hr     (d) 81 km/hr

 

  1. Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is :

(a) 30 km/hr    (b) 45 km/hr    (c) 60 km/hr    (d) 75 km/hr

 

  1. A train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds. The speed of the second train is :

(a) 60 km/hr    (b) 66 km/hr    (c) 72 km/hr     (d) 99 km/hr

 

  1. A train travelling at 48 kmph completely crosses another train having half its length and

travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45

seconds. The length of the platform is

(a) 400 m          (b) 450 m          (c) 560 m           (d) 600 m

 

  1. 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) None of these

 

  1. 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) 9 a.m.          (c) 10.30 a.m.   (d) 11 a.m.

 

  1. 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.

 

  1. 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 :

(a) 2 : 3               (b) 4 : 3              (c) 6 : 7               (d) 9 : 16

 

Answer Key:

(1)-a; (2)-c; (3)-b; (4)-d; (5)-a; (6)-d; (7)-d; (8)-b; (9)-d; (10)-c; (11)-d; (12)-a; (13)-b; (14)-b; (15)-a; (16)-b