HARD
Earn 100

Train T leaves station X for station Y at 3 pm. Train S, travelling at three-quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at a station Z, where the distance between X and Z is three-fifths of that between X and Y. How many hours does train T take for its journey from X to Y?

50% studentsanswered this correctly

Important Questions on Ratio and Proportion

EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
The speed of a train is 72 km/hr and its length is 200 metre. What will be the time (in minutes) taken by the train to cross a pole.
MEDIUM
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
The distance between the two stations is 390 km. One train travels 182 km at the speed of 56 km/hr, and 108 km at the speed of 72 km/hr. The train travels the rest of the distance in 1.25 hours. What is the average speed of the train for the entire distance? 
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A railway train 100 m long is running at the speed of 30 km/hr. In what time does it pass a man standing near a line?
MEDIUM
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
X and Y are two stations which are 280 km apart. A train starts at a certain time from X and travels towards Y at 60 km/h. After two hours, another train starts from Y and travels towards X at 20 km/h. After how many hours does the train leaving from X meets the train which left from Y.
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train 150 m long passes a telegraphic post in 12 seconds. Find the speed of the train (in km/hr.)
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train X travelling at 60 km/h overtakes another train Y, 225 m long, and completely passes it in 72 seconds. If the trains had been going in opposite direction, they would have passed each other in 18 seconds. The length (in m) of X and the speed (in km/h) of Y are respectively:
MEDIUM
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train starts from A at  6AM and reaches B at 11AM on the same day. Another train starts from B at  8AM and reaches A at 3PM on the same day. At what time the two trains will have crossed each other?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
Two trains running in the opposite direction on parallel tracks, at speeds of 42 kmph and 57 kmph, take 18 seconds to cross each other. If the length of one train is 270 m, then the length of the other train is:
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train starts from a place A at 8 : 00 a.m. and arrives at another place B at 1 : 30 p.m. on the same day. If the speed of the train is 30 km/hr. What will be the distance (in km.) covered by the train?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A 100 meters long train crosses a 800 meters long bridge. If the speed of the train is 30 km/h, then what is the time taken by the train to cross a bridge?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains

The two trains leave Varanasi for Lucknow at 11:00 am and at 11:30 am. Respectively and travel at a speed of 110 km/h and 140 km/h respectively. How many kilometers from Varanasi will both trains meet?

EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
Two trains are running in opposite directions with the same speed. If the length of each train is 80 metres and they cross each other in 16 seconds, then what is the speed (in km/hr) of each train?
MEDIUM
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train 100 m long running at uniform speed crosses a station which is 500 m long  in 25 seconds. How long will it take for the train to pass a station that is 380 m long?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
The distance between two stations, A and B is 428 km. A train starts from station 'A' at 6:00 a.m. and moves towards station 'B' at an average speed of 48 km/h. Another train starts from station 'B' at 6:20 a.m. and moves towards station 'A' at an average speed of 55 km/h. At what time will the trains meet?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A 230 m long train has to cross a platform of length 750 m. If the train is running at a speed of 72 kmh. the time taken is_____.
MEDIUM
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train travelling at the speed of x kmph crossed a 300 m long platform in 30 sec and overtook a man walking man in the same direction at 6 kmph in 20 sec. What is the value of x?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train x running at 74 km/h crosses another train y running at 52 km/h in the opposite direction in 12 seconds. If the length of y is two-thirds that of x, then what is the length of x (in m)? 
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A railway train 100 m long is running at the speed of 30 km/h. In what time does it pass a man standing near a line?
EASY
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
Two stations L and M are 180 km apart from each other. A train leaves L to M and simultaneously another train leaves from M to L. Both trains meet after 9 hours. If the speed of the first train is 10 km/hr more than that of the second train, what is the speed (in km/hr) of the slower train?
MEDIUM
Quantitative Ability>Arithmetic>Ratio and Proportion>Problems on Trains
A train of 150 metres crosses a railway bridge in 26 seconds at a speed of 90 km/hr. What is the length of this bridge ?