Multiple choice

The speeds of three cabs are in the ratio 2:3:4. The ratio between the times taken by these cabs to travel the same distance is ?

  1. 2:3:4

  2. 4:3:2

  3. 4:3:6

  4. 6:4:3

  5. None of these

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

Time is inversely proportional to speed for a constant distance. If speeds are in ratio 2:3:4, times are in ratio 1/2 : 1/3 : 1/4. Multiplying by 12 gives 6 : 4 : 3.

AI explanation

By the basic Time, Speed and Distance formula, Time is equal to Distance divided by Speed, meaning time and speed are inversely proportional for a constant distance. Therefore, the ratio of times taken is the inverse of the given speed ratio of 2:3:4. Inverting the ratio gives the ratio of times as 6:4:3.