Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - Data Sufficiency 3 (Q.No. 2)
Directions to Solve

Each of these questions is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the given question.


2.

What is the length of a running train P crossing another running train Q?

I. 

These two trains take 18 seconds to cross each other.

II. 

These trains are running in opposite directions.

 III. 

The length of the train Q is 180 metres.

I only
II only
III only
All I, II and III are required
Even with I, II and III, the answer cannot be obtained.
Answer: Option
Explanation:

Let the length of the train P be x metres.

 II. These trains are running in opposite directions.

III. Length of the train Q is 180 m.

  I. Time taken by P to cross Q = (180 + x)     18 = (180 + x)
Relative speed Relative speed

Thus, even with I, II and III, the answer cannot be obtained.

Correct answer is (E).

Discussion:
17 comments Page 1 of 2.

@bhi said:   9 years ago
Yes, I think with all the statements option's we can solve the question because total time is 18 sec. And the length of the second train is 180 m. So we can assume the speed of the first train then,

X+180/18 = 10 m/s.

180 is just the half part of total distance.

Correct me if I am taking wrong assumption.

Jayavarthini said:   1 year ago
Let the length of the train P be x metres.

II. These trains are running in opposite directions.
III. Length of the train Q is 180 m.

I. Time taken by P to cross Q = (180 + x)
18 = (180 + x).

Thus, even with I, II and III, the answer cannot be obtained.
The Correct answer is (E).

Sumit said:   1 decade ago
Since these two trains are running in opposite direction their relative speed should be (u+v). Therefore I think option D is the correct answer.

Prabir said:   9 years ago
If you want to find the length of the train then speed is required.

But here speed is not given so the answer is correct here that is E.

Patel said:   8 years ago
Relative Velocity i.e. (u+v) is required for his question; which is not given here. So, option 'E' is the correct answer.

Arpit said:   1 decade ago
Why I can not do by this method?
D = 180/10 =10m.

And the distance of p.
D = s*t.
= 10*10= 100m.

J.karthik said:   1 decade ago
I cannot understand this method.

How this relative speed? Need more statement answer the question.

Karan said:   4 years ago
Because we don't have any info of second train's length or speed. So E is correct.
(1)

PRIYA said:   10 years ago
I think D is better answer we can obtain answer with I, II, III option.

Anand said:   5 years ago
It will be option E because Relative speed (u+v) is not given here.


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