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Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - Data Sufficiency 1 (Q.No. 1)
Problems on Trains
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 4 of 5.
Kriti said:   8 years ago
Option (B) is the correct answer since statement II alone is sufficient to find the answer.
Janvi said:   1 decade ago
Sorry but I am confuse about this question please can any explain me in detail.
M.Homesh said:   9 years ago
We can also solve it by using the relative speed method.

S1 + S2 = D1/T.
Lokesh said:   1 decade ago
Please anyone explain me. I think the answer is 'D' but it was 'E'. Why?
Pankaj said:   7 years ago
Agree @A. Srikanth &@ditya. I miss length of the 2nd train. Thanks.
Adsam said:   1 decade ago
II alone sufficient since only the speed of 210m train is asked.
Nishanth Mekala said:   6 years ago
The speed of the train can be retrieved from statement 2 alone.
(10)
Amit Kumar said:   6 years ago
Anuj it will take 0.02 hours to cross the Bridge.
(1)
Rathod said:   7 years ago
u=606/5 not (17+50/3=101/3 it is not right).
Priyanka said:   8 years ago
I think statement 2 is sufficient.
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