Question

How much time did X take to reach the destination? 
Statement I - The ratio between the speed of X and Y is 3 : 4. 
Statement II - Y takes 36 minutes to reach the same destination.

• A. If the question can be answered with the help of statement I alone.
• B. If the question can be answered with the help of statement II alone.
• C. If both, statement I and statement II are needed to answer the question.
• D. If the question cannot be answered even with the help of both the statements.

Hint:

In data sufficiency problems, combining information from both statements can often lead to a solvable equation. Look for ways to use ratios and known quantities to calculate the unknown.

Answer 1

The Correct Option is C

From Statement I: The ratio between the speed of X and Y is 3 : 4, but we do not know the distance or time taken by X, so we cannot directly calculate the time taken by X.
From Statement II:
Y takes 36 minutes to reach the destination, but without knowing the speed of X, we cannot determine how much time X took.
Combining both statements: We know that Y takes 36 minutes and the speed ratio between X and Y is 3 : 4.
Using the formula \( {Time} = \frac{{Distance}}{{Speed}} \), we can calculate the time for X by knowing the speed ratio and the time taken by Y. Thus, both statements are needed to answer the question.