**1. A goods train and a passenger train are running on the parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind, overtakes and crosses his train completely in 1 min whereas a passenger on the passenger train marks that he crosses the goods train in 1/3 min. If the speeds of the trains is in the ratio of 1 : 2, then find the ratio of their lengths.**

(a) 4 : 1

(b) 3 : 1

(c) 1 : 5

(d) 1 : 2

(e) None of these

**2. A train running at the speed of 36 km/h goes past a pole in 15 s. What is the length of the train?**

(a) 150 m

(b) 200 m

(c) 250 m

(d) 300 m

(e) 350 m

**3. A train crosses a platform in 30 s travelling with a speed of 48 km/h. If the length of the train be 200 m, then the length of the platform is**

(a) 420 m

(b) 500 m

(c) 300 m

(d) 250 m

(e) None of these

**4. A train travelling with uniform speed crosses two bridges of lengths 240 m and 300 m in 18 s and 21 s, respectively. Find the speed of the train.**

(a) 72 km/h

(b) 80 km/h

(c) 45 km/h

(d) 60 km/h

(e) 90 km/h

**5. From stations Manesar and Nainital, two trains start moving towards each other at speed 100 km/h and 75 km/h, respectively. When the two trains meet each other, it is found that one train covers 50 km more than another. Find the distance between stations.**

(a) 180 km

(b) 200 km

(c) 255 km

(d) 305 km

(e) None of these

**6. The distance between two stations Patiala and Rewadi is 205 km. A train with speed of 25 km/h leaves Patiala at 8:00 am towards Rewadi. Another train with speed of 35 km/h leaves Rewadi at 9 : 00 am towards Patiala. Then, at what time both trains meet?**

(a) 12 : 00 am

(b) 11 : 00 am

(c) 9 : 30 pm

(d) 11 : 30 am

(e) 12 : 00 pm

**7. A train leaves Manali for Gurgaon at 3 : 45 a.m. and goes at the rate of 50 km/h. Another train leaves Gurgaon for Manali at 2 : 35 a.m. and goes at the rate of 60 km/h. If the distance between both is 620 km, at what distance from Manali will the two trains meet?**

(a) 200 km

(b) 250 km

(c) 145 km

(d) 300 km

(e) 375 km

**8. The distance travelled by a train is 1830 km. The speed of the train is one more than twice the time taken to travel the distance. What will be the respective ratio of the time taken and speed of train?**

(a) 30 : 61

(b) 61 : 30

(c) 25 : 51

(d) 51 : 25

(e) None of these

**9. A train overtakes two persons walking along a railway track. The first one walks at 5.4 km/h and the other one walks at 4.5 km/h. The train needs 8.5 s and 8.4 s 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/h

(b) 72 km/h

(c) 78 km/h

(d) 81 km/h

(e) None of the above

**10. A 125 m long train takes 25 s to cross a person who is going in the same direction with the speed of 4 km/h. After crossing that person, the train can reach next station in 1 hr. How long that person takes to reach that station after being crossed by them?**