###
**Finding the distance between trains
will never be the same once you start using this smart method to solve problems
on trains.**

Problems on
trains are there on the curriculum of every competitive exam like SBI PO, IBPS,SSC CGL to name a few. However they can really confuse you because of the details
you have to take into consideration and also the steps involved.

The 21

^{st}smart method in this series of blog posts will help you find the distance between trains in 5- 10 seconds that would otherwise take you 30- 45 seconds.###
**Problems on Trains **

A hot
favourite, problems on trains are of many kinds be very confusing because it
involves taking into account a lot of details like- directions, the length of
the train, length of the station, distance between trains, along with also remembering
that both trains also have different speeds. And of course! You have to
remember the list of formulas.

###
**Formulas to Solve Problems on Trains**

3. Assume two trains of length x mts
and y mts
are moving in opposite directions at v1 m/s
and v2 m/s,
then the time taken by the trains to cross each other

4. Assume two trains of length x mts
and y mts
are moving in the same direction at v1 m/s and v2 m/s
where v1> v2, Then the time taken by the faster train
to cross the slower train

###
**Example of Problems on Trains**

Two
trains start at the same time from A and B and proceed towards B and A at 36
kmph and 42 kmph respectively. When they meet, it is found that one train has moved
48 km more than the other. What is the distance between trains, A and B?

1) 624 km 2) 636 km 3) 544 km 4) 460 km 5) None of these

###
**Conventional Method to Solve Problems
on Trains**

The usual
approach starts with assuming the distance between the two trains A and B to be
‘D’

Then we assume
the distance of the meeting point ‘Y’ from A

**Step 1:**

x+ 48 =>
x+(x+48) = d

Since the two
trains start at the same time, the time taken by each train to reach the meeting
point is equal.

**Step 2:**

T1 = T2

**Step 3:**

D1/S1 = D2/S2
(since t = d/s)

**Step 4:**

Y/36 = (Y+48)/42

**Step 5:**

7Y = 6Y+288

**Step 6:**

Y = 288

Required answer
is

**Step 7:**

D= Y+(Y+48)

**Step 8:**

D = 288+288+48 = 624 km

The above method is 100% accurate
though we definitely can’t say the same about the speed of the method.

###
**Smart Method to Solve Problems on
Trains**

Speed with
accuracy is what matters in a competitive exam and using the long method is not
a good idea.

Distance
covered by first train in 1 hour is 36 km and that covered by the second train
is 42 km

**Step 1:**

Difference
of distances covered by the two trains in 1 hour = 42 – 36 = 6km

Therefore
the relative speed is 6km

**Step 2:**

The difference
between the distance covered by the two trains for the meeting point = 48 km

**Step 3:**

Therefore
the time for which the two trains have travelled = 48/6 = 8 hours

**Step 4:**

Distance
covered by the two trains together in 1 hour = 36 km+42km=78 km

**Step 5:**

Required
answer = 78x8 = 624 km

By using the
simple concept of

**we filter out excess calculation and save valuable time.***proportionality equations*
Solve the
following problems on trains and find the distance between trains-

Question 1: A
train leaves station A at the speed of 30 kmph. At the same time, another train
departs from station B at the speed of 45 kmph. When they meet, it is found
that one train has travelled 60 km more than the other. What is the distance
between trains, A and B?

1)
150 km 2) 300 km 3) 360 km 4) 240 km 5) None of these

Question 2: Two
trains start at the same time from A and B and proceed towards B and A at 38km/h
and 46 km/h respectively. When they meet, it is found that one train has moved
64km more than the other. What is the distance between trains, A and B?

1) 672 km 2) 636 km 3) 544 km 4)
460 km 5) None of these

Write your answers in
the comments below and tell us how long it took you to find the distance between
the trains!

This article is use simple, straightforward sentences with few modifying phrases and clauses.I enjoy articles that have one big word that fits perfectly. It makes me feel the article was worthwhile , no matter what.Thank you for this information.

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