Multiple choice

In covering a certain distance, the average speeds of X and Y are in the ratio 4 : 5. If X takes 45 minutes more than Y to reach the destination, then what is the time taken by Y to reach the destination?

  1. 135 minutes

  2. 150 minutes

  3. 180 minutes

  4. 225 minutes
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since speed and time are inversely proportional for a constant distance, the ratio of time taken by X and Y is 5 : 4. The difference in their times is 1 part, which corresponds to 45 minutes. Therefore, the time taken by Y is 4 parts, which equals 4 * 45 = 180 minutes.

AI explanation

Because distance is constant, time is inversely proportional to speed, making the ratio of times for X and Y 5:4. The difference of one ratio unit equals the 45 extra minutes X takes, so Y takes 4 units. Multiplying 4 by 45 minutes gives a total time of 180 minutes for Y.

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