Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - Data Sufficiency 1 (Q.No. 1)
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.

1.

What is the speed of the train whose length is 210 metres?

I. 

The train crosses another train (Howrah Express/12869) of 300 metres length running in opposite direction in 10 seconds.

 II. 

The train crosses another train (Howrah Express/12869) running in the same direction at the speed of 60 km/hr in 30 seconds.

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:

Time taken to cross the train,
running in opposite directions
= (l1 + l2) sec.
(u + v)

10 = (210 + 300)
(u + v)

   u + v = 51.

Time taken to cross the train, running in same direction = (l1 + l2) sec.
(u - v)

30 = (210 + 300)
(u - 60 x (5/18))

u = 17 + 50 m/sec.
3

Thus, u and v can be obtained.

Correct answer is (E).

Discussion:
45 comments Page 5 of 5.

Udita Mandal said:   10 years ago
Hi, I think correct answer is 'B' because according to the question we have to find out only speed of train with length 210 m i.e. 'u', which can be satisfactorily found out by the information given in option 2, there is no need of finding value of 'v', and none of information given in option 1 is helpful in finding out the answer.

So correct answer according to me is 'B' only option 2 is sufficient to answer the given question. Please go through my suggestion and if I am wrong then correct my doubt.

Thank you!

M.Homesh said:   9 years ago
We can also solve it by using the relative speed method.

S1 + S2 = D1/T.

Shubham said:   9 years ago
Statement 2 is sufficient.

Vidhya said:   9 years ago
Yes, you are right @Gautam Kumar.

Sundar said:   1 decade ago
Since in both statement reveals that the another train is "Howrah Express/12869" and its length is 300 meters.

Therefore, we can find the answer with I and II.

If it is not specified (if not included the another trains details specifically), it may be different trains and different length. In this case, the answer will be "Both I and II are not sufficient to answer".

Hope this will help you a little bit.


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