Multiple choice

The question given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is the time taken by Rahul from point P to other point Q ? (I) If he walks 25% faster than his usual speed then he reaches 20 seconds earlier. (II) If he walks 20 km toward point Q from point P at usual speed .after that he takes 10 seconds to reach the point y.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If both statement together are sufficient, but neither statement alone is sufficient.

  5. If statement I and II together are not sufficient.
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A Correct answer
Explanation

Statement I alone is sufficient. Let usual speed = v and usual time = t. Distance d = v × t. Walking 25% faster means speed = 1.25v, time = t-20. Since distance is constant: v × t = 1.25v × (t-20), which gives t = 100 seconds. Statement II mentions 'point y' which is unclear and doesn't provide enough information to find the time.

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