Candidates consider Quantitative Aptitude as one of the dreaded and Ineluctable subjects for any banking and other competitive exams. This sections if practiced well can do wonders or may shock you anytime by raising the level of its complexity. You can also check out the Quantitative Aptitude Quiz.
We have already provided you with the study plan for IBPS PO in the form of KAR IBPS PO FATEH! and providing the daily quiz of the quant section based on various topics on the basis of the Study plan. Now we have also started a new initiative of making learning easy by providing study notes. Today we are discussing the Problem on Trains for Bank PO and other exams.
→ Problem based on trains are same as related to Speed, time and distance and their some concept are applicable to these problems.
→ Some basic rules based on trains-
→ These are two methods of converting km/hr into m/s and m/s to km/hr respectively.
* Rule 2:-
The distance covered by train in passing a pole or a standing man is equal to the length of train.
Ex:- A train passes a pole of 120 m. What is the length of the train?
length of pole = 120 m
∴ length of train = 120 m
* Rule 3:-
If two trains are moving in the same direction, then their relative speed is the difference of speed of both trains.
Ex.- Two trains moving in the same direction with speeds 45 km/hr and 39 km/hr respectively, then find their relative speed?
∴ Relative speed = 45-35
= 10 km/hr
* Rule 4:-
If two trains are moving in the opposite direction, then their relative speed is equal to the sum of the speeds of both the trains.
Ex.- Two trains moving in the opposite direction with speed 54 km/hr and 36 km/hr respectively, then find their relative speed?
∴ Relative speed = 54+36
= 90 km/hr
* Rule 5:-
If a train passes a platform, bridge, etc. have some length, then distance covered by trains is equal to the sum of lengths of the train and that particular object.
Ex.- A 150 m long train passes a platform of length 100 m. Find the distance covered by train in passing the platform?
Length of train = 150 m
And length of platform = 100 m
∴ Total distance covered = 150 + 100
= 250 m
* Rule 6:-
If two trains of length a and b are moving in opposite directions with speeds of x and y respectively, then the time taken by trains to cross each other is equal to
Ex.- Two train of length 160 m and 180 m are moving in the opposite direction with 9 m/s and 8 m/s respectively. Find the time taken by the trains to cross each other?
Here a = 160 m, b = 180 m, x = 9 m/s, y = 8 m/s
* Rule 7:-
If two trains of length a and b are moving in the same direction, with speeds x and y respectively, then the time taken to cross each other is equal to
Ex.- Two trains of length 170 m and 150 m are moving in the same direction with 24 m/s and 8 m/s respectively. Find the time taken by faster train to cross slower train?
Here, a = 170 m, b = 150 m, x = 24m/s, y = 8 m/s
* Rule 8:-
If two train starts at the same time from x and y towards each other and after crossing each other, they took t1 and t2 time in reaching y and x respectively, then
Ex.- Two train starts at the same time from P and Q towards each other and after crossing, they take 36 hr and 16 hr in reaching Q and P respectively. Find the ratio of the speed of 1st train to 2nd train?
* Some important types of question-related to the problem of trains are the following: –
* Type I:-
If two trains leave x and y at time t1 and t2 and travel with speed L and M respectively, then distanced from x, where two trains meet is
Ex.- Two trains leave Vadodara for Delhi at 9: 00 am and 9: 30 am respectively and travel at 120 km/hr and 90 km/hr respectively. How many km from Vadodara will the two trains meet?
Type 2 : –
If two train x and y starts from point A and B towards B and A respectively and after passing each other, they take t1 and t2 time to reach B and A respectively while the speed of train x is given as L, then
Ex.- Two trains x and y leave from Ahmedabad and Kolkata towards Kolkata and Ahmedabad respectively and after crossing each other, they take 25 hrs and 16 hrs respectively, while the speed of train x is 40 km/hr. Find the speed of train Y?
Type – 3:-
Without any stoppage, a train travels at an average speed of x, and with stoppage, it covers the same distance at an average speed of y, then
Ex.- Without stoppage, a train travels at an average speed of 72 km/hr and with some stoppage, it travels at an average speed of 60 km/hr. Find how many minutes, does train stops per hr?
* Type 4:-
If two trains of equal lengths and different speeds take t1 and t2 time to cross a pole, then time taken by them to cross each other is
Ex) Two train is of equal length take 6 sec and 8 sec respectively to cross a pole. If these trains are moving in same direction, then how much time they will take to cross each other?
If you want to study Quantitative Aptitude for IBPS PO Prelims then you can also check out the video given below:
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