Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - Data Sufficiency 3 (Q.No. 1)
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.


1.

At what time will the train reach city X from city Y?

I. 

The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.

II. 

The train leaves city Y at 7.15 a.m. for city X situated at a distance of 558 km.

 III. 

The 200 metres long train crosses a signal pole in 10 seconds.

I only
II only
III only
II and III only
All I, II and III are required.
Answer: Option
Explanation:

From the statement I, we get length of the train is 200 metres (Redundant info while comparing with Statement III). The rest of the info given in this statement cannot be used for calculating the speed of the train, because the two trains might run at different speed.

III gives, speed = 200 m/sec = 20 m/sec = 20 x 18 km/hr = 72 km/hr.
10 5

II gives, time taken = 558 hrs = 31 hrs = 7 3 hrs = 7 hrs 45 min.
72 4 4

So, the train will reach city X at 3 p.m.

Hence II and III only gives the answer.

Discussion:
31 comments Page 1 of 4.

Anu said:   1 decade ago
Can anyone explain why 72 divides 558km.

Leeba said:   1 decade ago
Because,

Time = Distance/Speed.

Vinod agrawal said:   1 decade ago
Just to get the time taken by the train to reach at City Y.

Master said:   1 decade ago
The answer should be A.

The question clearly says which information is redundant & can be dispensed. Statement I is not required to solve it, so answer should be option A.

Richu said:   1 decade ago
Ya me too agreeing with you @Mr Master.

First sentence is not telling about the speed of the second train.

Also second and third statements are also not telling about the speed of the second train. So First sentence is unnecesssary.

The explanation given to it is correct but the answer option is wrong.

Harish said:   1 decade ago
Hello, Please explain me this problem briefly.

Kamal said:   1 decade ago
In first statement we know the length of each train so it is not waste statement.

Arash said:   1 decade ago
So I is redundant and A is correct. Why the correct answer is chosen D?

Fgyugu said:   1 decade ago
Speed of the train can be found out by using statement 1.

As (200+200)/15 = 26.66 is relative speed of train A to train B,

Since speed of B=200/10=20, Therefore speed of A = 26.66-20 = 6.66,

Thus all the statements are required.

Shyam said:   1 decade ago
Answer should be E, because without using statement 1 we can't take length of train 200m.


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