Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - Data Sufficiency 1 (Q.No. 2)
Directions to Solve

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

  • Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
  • Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
  • Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
  • Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
  • Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

2.

What is the length of a running train crossing another 180 metre long train running in the opposite direction?

I. 

The relative speed of the two trains was 150 kmph.

 II. 

The trains took 9 seconds to cross each other.

I alone sufficient while II alone not sufficient to answer
II alone sufficient while I alone not sufficient to answer
Either I or II alone sufficient to answer
Both I and II are not sufficient to answer
Both I and II are necessary to answer
Answer: Option
Explanation:

Let the two trains of length a metres and b metres be moving in opposite directions at u m/s and v m/s.

Time taken to cross each other = (a + b) sec.
(u + v)

Now, b = 180, u + v = 150 x 5 m/sec = 125 m/sec.
18 3

9 = a + 180
(125/3)

a = (375 - 180) = 195 m.

Discussion:
23 comments Page 1 of 3.

Sanjay said:   1 decade ago
@ADITI.

1 kilo is 1000.

1hour is 60s*60m=3600s.

1000/3600 = 5/18.

If you multiply 5/18 to that value you can convert it in to m/s.
(1)

Mukesh said:   9 years ago
Time is taken to cross each other 9 seconds given in the question. So we can put the value in that place in the formula.

Naeem said:   8 years ago
@Dilhara.

u+v relative speed in case of opp. direction.

@Ramshya_Fathima b=180 is given in data. Check it.

Kapil said:   1 decade ago
Relative speed,u+v = 150 km/hr
we multiply it with 5/18 to convert it into m/sec
u+v= 150*(5/18)

Deepanshu said:   7 years ago
@Sony Sharda.

B is the length of another train which is given in the question=180m.
(2)

Saumya said:   8 years ago
Relative speed means U-V but it is considering u+v.

So, the given answer is wrong.

Ramshya fathima said:   8 years ago
How we take b=180?

I don't understand please explain anyone to know the answer.

Thanushree y r said:   6 years ago
I can't understand the solution of this problem. please anyone tell me in brief.

Nur alom said:   8 years ago
The relative speed for opposite direction is u+v not u-v.

Sunitha said:   6 years ago
@All.

When you multiply 150*5/18 then you will get 125/3.
(1)


Post your comments here:

Your comments will be displayed after verification.