Multiple choice

In covering a certain distance, the speeds of A and B are in the ratio of 4 : 5. A takes 25 minutes more than B to reach the destination. The time taken by A to reach the destination is

  1. 2:50 hours

  2. 2:05 hours

  3. 2:15 hours

  4. 2:10 hours

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Speed ratio A:B = 4:5, so time ratio A:B = 5:4. Let time be 5t and 4t. 5t - 4t = 25 min, so t = 25 min. Time for A = 5 * 25 = 125 min = 2 hours 5 minutes.

AI explanation

Using the fundamental relationship that distance is constant, time is inversely proportional to speed, making the ratio of the times taken by A and B 5 to 4. This means the 25-minute difference corresponds to 1 part in the ratio, making B's time 100 minutes and A's time 125 minutes. Converting A's time of 125 minutes into hours and minutes gives 2 hours and 5 minutes. The time taken by A to reach the destination is 2:05 hours.

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