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**1. A train is running at a speed of 40 km/hr and it crosses a post in 18 sec. What is the length of the train?**

(a) 160 m (b) 190 m

**(c) 200 m ** (d) 210 m

**2. A 130-metre-long train travels at a speed of 45 km/hr. It crosses a bridge in 30 sec. What will be the length of the bridge?**

(a) 230 metres (b) 235 metres

**(c) 245 metres** (d) 270 metres

**3. A train has a length of 150 metres. It passes a man who is moving at 2 km/hr in the same direction as is the train, in 3 sec. Find out the speed of the train.**

(a) 152 km/hr (b) 169 km/hr

(c) 180 km/hr **(d) 182 km/hr**

**4. A train, having a length of 240 metres, passes a post in 24 sec. How long will it take to pass a platform having a length of 650 metres?**

**(a) 89 sec** (b) 99 sec

(c) 110 sec (d) 120 sec

**5. A 360-metre-long train runs at a speed of 45 km/hr. What time will it take to pass a platform of 140-metre length?**

(a) 35 sec (b) 37 sec

(c) 38 sec **(d) 40 sec**

**6. Two trains running in opposite directions cross a man standing at the platform in 27 sec and 17 sec respectively. If they cross each other in 23 sec, what is the ratio of their speeds?**

(a) 1:3 (b) 3:1

(c) 2:3 **(d) 3:2**

**7. A jogger is running at 9 kmph alongside a railway track, 240 metres ahead of the engine of a 120-metre-long train. The train is running at 45 km/hr in the same direction. How much time will the train take to pass the jogger?**

(a) 18 sec **(b) 36 sec**

(c) 11 sec (d) 22 sec

**8. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. If the faster train passes the slower train in 36 sec, what is the length of each train?**

**(a) 50 metres ** (b) 622 metres

(c) 70 metres (d) 88 metres

**9. Two trains, having lengths of 140m and 160m, respectively, run at a speed of 60 km/hr and 40 km/hr in opposite directions (on parallel tracks). What will be the time they take to cross each other?**

(a) 8.8 sec (b) 9.8 sec

**(c) 10.8 sec** (d) 12.1 sec

### Read More: Competitive Maths Series

**10. Two trains of 1.10 km and 0.9 km length are moving in opposite directions at a speed of 60 and 90 kmph, respectively. The time taken by the slower train to cross the faster one will be:**

(a) 47 sec **(b) 48 sec**

(c) 56 sec (d) 57 sec

**11. A train passes a platform in 36 sec. The same train passes a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr, the length of the platform is:**

(a) 200 m (b) 200 m

(c) 230 m **(d) 240 m**

**12. A train moves past a post and a 264-metre-long platform in 88 sec and 20 sec, respectively. What is the speed of the train?**

**(a) 79.2 km/hr ** (b) 80.4 km/hr

(c) 82.2 km/hr (d) 92.8 km/hr

**13. Two trains having equal lengths, take 10 sec and 15 sec respectively to cross a post. If the length of each train is 120 metres, in what time (in sec) will they cross each other when travelling in opposite direction?**

(a) 8 (b) 10

**(c) 12** (d) 14

**14. Two trains, one from P to Q and the other from Q to P, start running simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:**

(a) 2:1 (b) 2:3

(c) 3:2 **(d) 4:3**

**15. A train having a length of ¼ mile, is travelling at a speed of 75 mph. It enters a tunnel 3½ miles long. How long does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?**

(a) 1.2 min (b) 1.9 min

(c) 2.7 min **(d) 3.0 min**

**16. A train runs at the speed of 72 kmph and crosses a 250-metre0-long platform in 26 sec. What is the length of the train?**

(a) 240 metres **(b) 270 metres **

(c) 280 metres (d) 295 metres

**17. A train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 sec respectively. What is the length of the train?**

(a) 44 m (b) 48 m

**(c) 50 m** (d) 62 m

**18. A train is travelling at 48 kmph. It crosses another train of half its length, travelling in opposite direction at 42 kmph, in 12 sec. It also passes a railway platform in 45 sec. What is the length of the platform?**

(a) 360 m (b) 380 m

(c) 400 m (d) 420 m

**19. A train having a length of 270 metre is running at a speed of 120 kmph. It crosses another train running in opposite direction at the speed of 80 kmph in 9 sec. What is the length of the other train?**

(a) 190 m (b) 210 m

**(c) 230 m** (d) 320 m

**20. Two trains, each 100-metre-long, are moving in opposite directions. They cross each other in 8 sec. If one is moving twice as fast the other, the speed of the faster train is:**

(a) 40 km/hr (b) 50 km/hr

**(c) 60 km/hr** (d) 70 km/hr