Bissoy.com
Doctors Medicines MCQs Q&A

A train departs from Station P at 2 PM and reaches other station Q at 7:00 PM. Another train departs from station Q at 3:00 PM and reaches the station 8:00 PM. At what time the two trains will cross each other?

A train departs from Station P at 2 PM and reaches other station Q at 7:00 PM. Another train departs from station Q at 3:00 PM and reaches the station 8:00 PM. At what time the two trains will cross each other? Correct Answer 5:00 PM

Given:

Train 1: Starts from P at 2 PM and reach Q at 7:00 PM

Train 2: Strat from Q at 3:00 PM and reach P at 8:00 PM

Formula used:

Distance = Speed × Time

Calculation:

Suppose the distance between the station P and station Q is x km.

For the first train:

Time is taken to cover from P to Q = 5 hr

Speed of the First train = Distance/Time = x/5

For the Second train:

Time is taken to cover from Q to P = 5 hr

Speed of the second train = x/5

Distance covered by the first train in 1 hr from 2 PM to 3 Pm = x/5

Remaining distance = x - x/5 = 4x/5

Relative speed = x/5 + x/5 = 2x/5

Crossing time = (4x/5)/(2x/5) = 2 hrs

Both train meet at = 3:00 + 2 hours = 5:00 PM

∴ Both trains meet at 5 ∶ 00 PM

Related Questions

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.
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?
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 train departs from Hyderabad at 7 am and reaches Vijayawada at 11 am. Another train departs from Vijayawada at 9 am and reaches Hyderabad at 12:30 pm. At what time will the two trains cross each other?  
The two railway stations A and B are at a distance of 110 km from each other. Train M departs from station A at 7 am and travels towards station B at a speed of 20 km/h. Train P departs from Station B at 8 am and travels towards Station A at a speed of 25 km/h. What time will the two meet?
A train A leaves Station X at 7 a.m. and reaches Station Y at 11 a.m. Another train B leaves Station Y at 9 a.m. and reaches Station X at 12.30 p.m. The distance between these two stations are 28 km. At what time do the two trains cross each other?
A train leaves a station A at 7 am and reaches another station B at 11 am. Another train leas B at 8 am and reaches A at 11:30 am. The two trains cross one another at
In the following question, the 1st and the last part of the sentence/passage are numbered 1 and 6. The rest of the sentence/ passage is split into four parts and named P, Q, R and S. These four parts are not given in their proper order. Read the sentence/passage and find out which of the four combinations is correct. 1. A few countries already use powerful electromagnets to build high-speed trains. P. Since maglev trains float in the air, there is no friction between the train and the track. Q. Maglev trains work on the principles of magnetism and float over a guideway. R. Maglev is the shortened form of magnetic levitation. S. These trains are called maglev trains. 6. This lack of friction and the aerodynamic design of these trains allow them to reach speeds of over 500 kilometers per hour.
Two trains one is running from Pune to Mumbai (train A) and the other is running from Mumbai to Pune (train B) crosses a man standing on Vasai road station in 54 seconds and 34 seconds respectively. These two trains however cross each other in 46 seconds. Calculate the ratio of the speeds of two trains?