Multiple choice

In covering the certain distance, the speeds of car A and car B are in the ratio of 2 : 3. Car A takes 40 minutes more than car B to reach the destination. Find the time taken by car A to reach the destination.

  1. 1 hour

  2. 1.5 hours

  3. 2 hours

  4. 2.5 hours
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speed ratio A:B = 2:3. Time ratio A:B = 3:2. Let time be 3x and 2x. 3x - 2x = 40 minutes. x = 40 minutes. Time for A = 3x = 120 minutes = 2 hours.

AI explanation

Using the rule that when distance is constant, time taken is inversely proportional to speed, the ratio of the times taken by cars A and B is 3 to 2. The difference in time is 1 ratio unit, which corresponds to the given 40 minutes. Since car A represents 3 ratio units, the total time taken by car A is 3 multiplied by 40 minutes, which equals 120 minutes or 2 hours.

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