Problems on Trains Worksheet-3

Problems on Trains Worksheet-3

1. A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long. The length of the train is :

(a) 70 m             (b) 80 m            (c) 90 m             (d) 100 m

2. How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km/hr?

(a) 25                  (b) 30                 (c) 40                  (d) 45

3. A jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?

(a) 3.6 sec          (b) 18 sec           (c) 36 sec           (d) 72 sec

4. A train 110 metres long is running with a speed of 60 kmph. 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 ?

(a) 5 sec             (b) 6 sec             (c) 7 sec              (d) 10 sec

5. Two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45

kmph respectively. In how much time will they cross each other, if they are running in the same

direction ?

(a) 72 sec           (b) 132 sec         (c) 192 sec         (d) 252 sec

6. Two trains 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in

opposite directions on parallel tracks. The time (in seconds) which they take to cross each other,

is :

(a) 9                    (b) 9.6                (c) 10                 (d) 10.8

7. Two trains are moving in opposite directions @ 60 km / hr and 90 km / hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is :

(a) 36                  (b) 45                  (c) 48                 (d) 49

8. A train 125 m long passes a man, running at 5 kmph in the same direction in which the train is going, in 10 seconds. The speed of the train is :

(a) 45 km/hr     (b) 50 km/hr    (c) 54 km/hr     (d) 55 km/hr

9. A train 110 m long passes a man, running at 6 kmph in the direction opposite to that of the

train, in 6 seconds. The speed of the train is :

(a) 54 km/hr     (b) 60 km/hr    (c) 66 km/hr     (d) 72 km/hr

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

(a) 50 m             (b) 72 m             (c) 80 m             (d) 82 m

Answer Key:

(1)-c; (2)-b; (3)-c; (4)-b; (5)-d; (6)-d; (7)-c; (8)-b; (9)-b; (10)-a