{"id":20291,"date":"2019-01-28T16:02:29","date_gmt":"2019-01-28T11:02:29","guid":{"rendered":"http:\/\/jworldtimes.com\/old-site\/jwt2015\/?p=20291"},"modified":"2019-11-23T14:25:06","modified_gmt":"2019-11-23T09:25:06","slug":"competitive-maths-series-train-problems","status":"publish","type":"post","link":"https:\/\/www.jworldtimes.com\/old-site\/css-exclusive\/css-special\/competitive-maths-series-train-problems\/","title":{"rendered":"Competitive Maths Series Train Problems"},"content":{"rendered":"

\"Competitive<\/a><\/p>\n

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?<\/strong>
\n(a) 160 m\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 190 m
\n(c) 200 m\u00a0<\/strong><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (d) 210 m<\/p>\n

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?<\/strong>
\n(a) 230 metres\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 235 metres
\n(c) 245 metres<\/strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/span>(d) 270 metres<\/p>\n

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.<\/strong>
\n(a) 152 km\/hr\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 169 km\/hr
\n(c) 180 km\/hr\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 182 km\/hr<\/span><\/strong><\/p>\n

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?<\/strong>
\n(a) 89 sec<\/strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span>(b) 99 sec
\n(c) 110 sec\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 120 sec<\/p>\n

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?<\/strong>
\n(a) 35 sec\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 37 sec
\n(c) 38 sec\u00a0 \u00a0 \u00a0 \u00a0\u00a0(d) 40 sec<\/span><\/strong><\/p>\n

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?<\/strong>
\n(a) 1:3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 3:1
\n(c) 2:3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 3:2<\/span><\/strong><\/p>\n

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?<\/strong>
\n(a) 18 sec\u00a0 \u00a0 \u00a0 \u00a0\u00a0(b) 36 sec<\/span><\/strong>
\n(c) 11 sec\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 22 sec<\/p>\n

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?<\/strong>
\n(a) 50 metres\u00a0<\/strong><\/span> \u00a0 \u00a0 \u00a0 \u00a0(b) 622 metres
\n(c) 70 metres\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 88 metres<\/p>\n

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?<\/strong>
\n(a) 8.8 sec\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 9.8 sec
\n(c) 10.8 sec<\/strong>\u00a0 \u00a0 \u00a0 \u00a0<\/span>(d) 12.1 sec<\/p>\n

Read More:\u00a0Competitive Maths Series<\/a><\/span><\/h3>\n

<\/p>\n

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:<\/strong>
\n(a) 47 sec\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 48 sec<\/span><\/strong>
\n(c) 56 sec\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 57 sec<\/p>\n

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:<\/strong>
\n(a) 200 m\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 200 m
\n(c) 230 m\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 240 m<\/span><\/strong><\/p>\n

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?<\/strong>
\n(a) 79.2 km\/hr\u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/strong> <\/span>(b) 80.4 km\/hr
\n(c) 82.2 km\/hr\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 92.8 km\/hr<\/p>\n

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?<\/strong> <\/span>
\n(a) 8\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 10
\n(c) 12<\/strong><\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (d) 14<\/p>\n

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:<\/strong>
\n(a) 2:1\u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 2:3
\n(c) 3:2\u00a0 \u00a0 \u00a0 \u00a0\u00a0(d) 4:3<\/span><\/strong><\/p>\n

15. A train having a length of \u00bc mile, is travelling at a speed of 75 mph. It enters a tunnel 3\u00bd 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?<\/strong>
\n(a) 1.2 min\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 1.9 min
\n(c) 2.7 min\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0(d) 3.0 min<\/span><\/strong><\/p>\n

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?<\/strong>
\n(a) 240 metres\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 270 metres<\/span> <\/strong>
\n(c) 280 metres\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(d) 295 metres<\/p>\n

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?<\/strong>
\n(a) 44 m\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 48 m
\n(c) 50 m<\/strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span>(d) 62 m<\/p>\n

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?<\/strong>
\n(a) 360 m (b) 380 m
\n(c) 400 m (d) 420 m<\/p>\n

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?<\/strong>
\n(a) 190 m\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 210 m
\n(c) 230 m<\/strong><\/span>\u00a0 \u00a0 \u00a0 \u00a0(d) 320 m<\/p>\n

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:<\/strong>
\n(a) 40 km\/hr\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(b) 50 km\/hr
\n(c) 60 km\/hr<\/strong>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span>(d) 70 km\/hr<\/p>\n","protected":false},"excerpt":{"rendered":"

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\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (b) 190 m (c) 200 m\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (d) 210 m 2. A 130-metre-long train travels at a …<\/p>\n","protected":false},"author":8855,"featured_media":20292,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[31,10391],"tags":[10157,10443,257,9668],"_links":{"self":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/20291"}],"collection":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/users\/8855"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/comments?post=20291"}],"version-history":[{"count":0,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/posts\/20291\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media\/20292"}],"wp:attachment":[{"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/media?parent=20291"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/categories?post=20291"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jworldtimes.com\/old-site\/wp-json\/wp\/v2\/tags?post=20291"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}