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Aptitude - Time and Distance - Discussion

Discussion Forum : Time and Distance - Data Sufficiency 1 (Q.No. 2)
Time and Distance
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.
2.

The towns A, B and C are on a straight line. Town C is between A and B. The distance from A to B is 100 km. How far is A from C?

I. 

The distance from A to B is 25% more than the distance from C to B.

 II. 

The distance from A to C is of the distance C to B.

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:

.__________.______________________________________.
A     x    C            (100 - x)                 B

Let AC = x km. Then, CB = (100 -x) km.


 I. AB = 125% of CB

100 = 125 x (100 - x)
100

100 - x = 100 x 100 = 80
125

x = 20 km.

AC = 20 km.

Thus, I alone gives the answer.


II. AC = 1 CB
4

x = 1 (100 - x)
4

5x = 100

x = 20.

AC = 20 km.

Thus, II alone gives the answer.

Correct answer is (C).

Discussion:
2 comments Page 1 of 1.
Santosh said:   1 decade ago
Somebody let me know how is ab is equal to 125% of cb?
Achyuth said:   1 decade ago
25% more means its already have 100%. So we can add 100%+25%=125% that's it.
(4)
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