Problems on Trains — practice questions, page 9
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QuestionA train and a platform are of equal length. At 90 km/h the train crosses the platform in one…QuestionA 500 m train overtakes a man walking along the track in its direction at 4 km/h in 30 seconds.…QuestionStanding on a 180 m railway bridge, Gopal notices that a train takes 20 seconds to cross the…QuestionTelegraph poles along a line are 50 m apart. A passenger counts 21 poles going past in one minute,…QuestionA train leaves Kolhapur at 7 a.m. at 50 km/h. Another leaves Kolhapur at 8 a.m. on the parallel…QuestionA 150 m train overtakes a man running at 6 km/h in its direction in 10 seconds, and then passes a…QuestionTrains 300 m and 150 m long pass each other in opposite directions. A passenger in the shorter…QuestionAn express at 63 km/h leaves a station 3 hours after a goods train and catches it 4 hours after…QuestionA train at 48 km/h completely crosses another train half its length, coming the other way at 42…QuestionHalfway through a 240 km run a train is held up for 1 hour. To arrive on time it covers the…QuestionRails on a line are 12.5 m long, and a passenger hears a click each time the wheels cross a joint.…QuestionRunning at 60 km/h a train arrives at 3 p.m.; at 40 km/h it arrives at 5 p.m. At what speed must…QuestionA passenger train runs at three-fourths the speed of an express. The express leaves a junction at…QuestionOne train is 50% faster than another. Their lengths are 120 m and 180 m, and running in opposite…QuestionA 225 m train takes 15 seconds to pass a lamp post. If it ran 18 km/h faster, how long would it…QuestionX and Y are 200 km apart. Train 1 leaves X at 6:00 a.m. at 50 km/h; train 2 leaves Y at 6:30 a.m.…QuestionRunning 20% slower, a train would take 45 minutes more for a 180 km trip. At its normal speed, how…QuestionTrain T1 leaves Delhi at 8 a.m. at 60 km/h and T2 leaves at 9 a.m. at 80 km/h, both on parallel…QuestionA train leaves Chennai at 6 a.m. for Madurai, 450 km away. It runs at 80 km/h in the first hour,…QuestionOne goods train is 50% longer than another. They pass a signal post in 20 seconds and 30 seconds…QuestionTrain A, 120 m long, runs at 72 km/h and overtakes train B, 80 m long, in 20 seconds. If B doubled…QuestionKanpur and Prayagraj are 200 km apart. Train 1 leaves Kanpur at 7 a.m. at 40 km/h; train 2 leaves…QuestionIncluding a 6-minute halt at an intermediate station, a train averages 54 km/h between two…QuestionTrains 100 m and 150 m long cross each other in 10 seconds when running in opposite directions and…QuestionA hill train climbs 60 km at 30 km/h and comes down the same 60 km at 60 km/h. A train on a level…
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