Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - 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.

Two towns are connected by railway. Can you find the distance between them?

I. 

The speed of the mail train is 12 km/hr more than that of an express train.

 II. 

A mail train takes 40 minutes less than an express train to cover the distance.

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:

Let the distance between the two stations be x km.

 I. Then, speed of the mail train = (y + 12) km/hr.

II. x - x = 40 .
y (y + 12) 60

Thus, even I and II together do not give x.

Correct answer is (D).

Discussion:
9 comments Page 1 of 1.

Vini said:   1 decade ago
Let speed of express train ,Se= x km/hr
therefore, speed of mail train, Sm= (x+12)km/hr

Let time taken by express train, Te= t hrs
therefore , time taken by mail tain, Tm= t hrs -(40min.)
= t - 40/60
= t-2/3 hrs
Distance= d km

1. d/x = t
2. d/(x+12)= t-2/3
on solving these, we still can not find d (distance), as the equation results in two unknown variables.
12d/(x(x+12)) =2/3 (you can not find distance here)

Thus, correct ans. is Option D
(5)

Gauri said:   5 years ago
@Vinii.

Thanks.
(2)

Rukmangathan R said:   4 years ago
@Prashanth.

While we calculating for hrs we must assign 60 mins.
(2)

Rekha said:   6 years ago
I didn't get this answer. Please, anyone, explain this clearly.
(1)

Poojitha said:   1 decade ago
Can any one explain?

Ramu royal said:   1 decade ago
Thank you @vini.

Xyz said:   1 decade ago
Distance of the mail train is 480? can you any tell me is it right or wrong?

Prashanth said:   6 years ago
How you get the 60?

Gopi said:   5 years ago
Please, anyone explain this.

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