Multiple choice

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

  1. I alone sufficient while II alone not sufficient to answer

  2. II alone sufficient while I alone not sufficient to answer

  3. Either I or II alone sufficient to answer

  4. Both I and II are not sufficient to answer

  5. Both I and II are necessary to answer

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Speed ratio X:Y = 3:4. Time ratio X:Y = 4:3. If Y takes 36 minutes, X takes (4/3) * 36 = 48 minutes. Both statements are required to establish the relationship and the specific value.

AI explanation

Since both X and Y are traveling to the same destination, they cover the same distance, meaning the time taken is inversely proportional to their speed. Statement I gives the speed ratio of 3:4, and statement II provides Y's time of 36 minutes; combining them, X's time is 36 multiplied by 4/3, which equals 48 minutes. Both statements together are necessary to find the time.