Aptitude - Problems on Trains - Discussion

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

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.


1.

What is the speed of the train?

I. 

The train crosses a signal pole in 18 seconds.

II. 

The train crosses a platform of equal length in 36 seconds.

 III. 

Length of the train is 330 metres.

I and II only
II and III only
I and III only
III and either I or II only
Any two of the three
Answer: Option
Explanation:

Let the speed of the train be x metres/sec.

Time taken to cross a signal pole = Length of the train
Speed of the train

Time taken to cross a platform = (Length of the train + Length of the Platform)
Speed of the train

Length of train = 330 m.

I and III give, 18 = 330     x = 330 m/sec = 55 m/sec.
x 18 3

II and III give, 36 = 2 x 330     x = 660 m/sec = 55 m/sec.
x 36 3

Correct answer is (D).

Discussion:
21 comments Page 1 of 3.

Anchal said:   7 years ago
The answer must be E.

If used 1 and 2 only. Then their velocities are equal and hence after finding the value of train length easily speed can be found out.
(5)

Shubham said:   9 years ago
Guys, who are saying statement 1 and 2 is also sufficient. Kindly, solve it once, you will see, both LHS and RHS will come out equal, and we won't get any result. That's why statement 3 and any of statement 1 or 2 is the right answer.
(4)

Ganadakshaka.k said:   6 years ago
As statement 1 and 3 can be used because time and train length is given calculated by this formula:t = l/s.

And 2 and 3 can be used because of the same reason t=2*l/s, 2is multiplied because in question they have given train and platform length are same.

So, answer D is correct.
(2)

Dharani natarajan said:   1 decade ago
Thus the speed of the train can be found by the formula (L +l)*s. As per the formula may be 1st and 2nd, 2nd and 3rd are found to be correct.
(2)

Sri said:   6 years ago
I think both the length of the train and platform is 330 so did 2*330.
(1)

Satya said:   1 decade ago
Any of the 2 can be used because 1 and 2 can also suffice to find the speed of the train.
(1)

RahulJ said:   10 years ago
They gave answer correct but forgot option l & lll OR ll & lll.
(1)

Santosh pattapu said:   10 years ago
It can be possible for any length of the train.

Let us suppose length be 360.
case I: 18 = 360/x => x = 2.
case II: 36 = 360 * 2/x => x = 2.
So, it can be any length III comes true.

Now as we know I implies II
So, the answer is E

It cannot be A because III comes true in all cases similarly B can't be, C can't be.
If we consider E, it is correct in all cases.
If we consider D, it is representing 2 cases of E so it can also be true.
(1)

MISHU said:   10 years ago
Crosses the pole in 18 sec (From 1). so, in 18 sec the train goes a length equal to its own length which is 330 ( from 3).

Now, in 18 sec train passes 330 m, so speed = (330/18) = 55/3.
So, the answer : I & III.
(1)

Aswani said:   9 years ago
Yes, answer is d. I agree.
(1)


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