Multiple choice

Passage

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What is the changed speed of Priya? I. The distance between university and home of Priya is 160 km. II. She was 2 hours late than the normal time to leave for the university, so she increased her speed by 4 km/hr and thus, she reached at the normal time. III. She was 10/9 hours late than the normal time to leave for the university, so she increased her speed by 2 km/hr and thus, she reached at the normal time.

  1. Either I and II or I and III together are sufficient

  2. Both I and II together are sufficient

  3. Both I and III together are sufficient

  4. All I, II and III together are sufficient

  5. None of the three statements is sufficient
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A Correct answer
Explanation

Let normal speed be v and normal time be t. Distance = 160 = v*t. Statement II: 160 = (v+4)(t-2). Statement III: 160 = (v+2)(t-10/9). Either II or III combined with I allows solving for v.

AI explanation

Using statements I and II, let the normal speed be v km/hr and the normal time be t hours; then vt = 160 and (v + 4)(t - 2) = 160, which forms a solvable system of equations. Using statements I and III, the equations are vt = 160 and (v + 2)(t - 10/9) = 160, which is also a solvable system to find the new speed. Statement II or III alone lacks the total distance, and all three together are unnecessary. Either I and II or I and III together are sufficient to answer the question.

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