Bissoy.com
Doctors Medicines MCQs Q&A

Two trains crossed each other in 10 sec. The length of one of the trains is 510 m, while the ratio of their speed is 3 ∶ 2. Approximately in how many second the faster train will cross a platform half its length, if its given speed of slower train is 129.6 km/hr and longer train travels in slower speed?

Two trains crossed each other in 10 sec. The length of one of the trains is 510 m, while the ratio of their speed is 3 ∶ 2. Approximately in how many second the faster train will cross a platform half its length, if its given speed of slower train is 129.6 km/hr and longer train travels in slower speed? Correct Answer 10.83 sec

 The ratio speed of trains are = 3 ∶ 2

∴ Let the speed of train be 3x and 2x respectively 

According to question,

2x = 129.6 km/hr

⇒ 2x = 129.6 × (5/18) m/s

⇒ 2x = 36 or x = 18

∴ 3x = 3 × 18 = 54 m/s

Now, let the length of second train be y m.

⇒ (510 + y)/(54 + 36) = 10 

⇒ 510 + y = 900 

⇒ y = 390 m

∴ Length of faster train = 390 m

Length of platform = 390/2 = 195m

∴ Time taken to cross the platform

⇒ (390 + 195)/54

⇒ 585/54 = 10.83 sec

∴ The faster train will cross a platform in 10.83 sec

Related Questions

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. The length of the first train is 40% more than the length of the second train. Time taken by the first train to cross a 200 m long platform when the second train crosses a person standing on the same platform in 25 sec. If the speed of both trains is 60 km/h and 36 km/h respectively. Quantity A: Numerical value of the time taken by the first train to cross the platform (in seconds) Quantity B: Numerical value of the length of the second train (in Km).
Due to the technical snag in the signal system two trains start approaching each other on the same track from two different stations, 240 km away each other. When the train starts a bird also starts moving to and fro between the two trains at 60 kmph touching each train each time. The bird initially sitting on the top of the engine of one of the trains and it moves so till these trains collide. If these trains collide one and half hour after start, then how many kilometers bird travels till the time of collision of trains?
Given below are two quantities named A & B. Based on the given information; you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A∶ The ratio of speeds of two trains is 3 ∶ 4. If the second trains can cover 550 km in 5 hours 30 minutes, then find the speed of first train in km/hr. Quantity B∶ Find the speed of a train in km/hr which can cross a platform whose length is double the train’s length in 60 seconds. The platform is crossed by another train of length 600 meter running at 90 km/hr in 56 seconds. 
There is only one rail track between stations A and B on a railway line. One hour after the northbound superfast train N leaves station A for station B, the southbound passenger train S reaches station A from station B. The speed of superfast train is twice that of express train E, while the speed of passenger train S is half of that of train E. On some one day train N leaves from station A to station B 20 minutes late than its usual schedule. Both Train N and Train S have increased their speed to maintain the schedule as per the table. If the superfast train doubles its speed, then what should be the ratio (approximately) of the speed of the passenger train to the speed of the superfast train so that the passenger train reaches the station on that day at the exact scheduled time.
The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. Train A departs at 9 : 20 am and train B departs at 10 : 50 am and they travel towards each other. After how much amount of time will the trains meet? I) Train A travels with a speed of 10 kmph and the difference between the speed of two trains is 6 kmph and both the trains are 160 km apart. II) Train B travels at a speed greater than Train A which travels with 10 kmph by 6kmph separated by a distance of 160 km.
Questions below followed by three quantities. Find the relationship between them. Quantity I: Peter travels 25% distance of the total journey by car and 60% of the remaining by train and Bus in the respective ratio of 5 : 4 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by foot is 396 km, then find the total distance which Peter travels during his journey? Quantity II: A and B start at the same time with speeds of 60 km/hr and 75 km/hr respectively. If in covering the journey A takes 96 minutes longer than B, the total distance of the journey is? Quantity III: The length of the train and that of the platform are equal. If with a speed of 90 km/hr the train crosses the platform in 60 sec, then what is the length of the train (in metres)?
Two trains are 90 km apart. The faster train has twice the speed of slower train which is travelling at 24 km/hr. If both trains start at the same time towards each other, what will be the position of the faster train when the slower train reached other point? 
A, B, C, D, E, F and G are seven coaches. Each one among them is a coach of a different game. The games are Hockey, Cricket, Badminton, Tennis, Volleyball, Basketball and Football (not necessarily in the same order). Each of them trains on one of the seven days of the week from Monday to Sunday (not necessarily in the same order). No two coaches train on the same day of the week. C trains Badminton on Friday. B teaches Volleyball on the previous day of the day on which a coach trains Hockey. G trains on Sunday but does not train Cricket or Tennis. D trains Basketball on the previous day of the day on which F trains. A trains Football on Tuesday. E does not train Tennis. On which day does F train?
A goods train and a passenger train are running in same distance with a speed in the ratio of 7 : 9. The driver of the goods train observed that the passenger train coming from backward difference and crossed his train completely in 80 sec whereas a passenger on the passenger train observed that he crossed the goods train in 55 sec; Find the ratio of their length?
The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 kmph. Then find the speed of faster train ?