# The speeds of three cars are in the ratio of 2 : 3 : 4. Find the ratio between the times taken by these cars to cover the same distance.

- 2 : 3 : 4
- 4 : 3 : 2
- 4 : 3 : 6
- 6 : 4 : 3

**Answer: (4) 6: 4: 3**

**Solution:-**

Let the distance be X km

The ratio of the speeds of the cars = 2: 3: 4

Then time taken to cover the distance will be inversely proportional to its speed = (X/2): (X/3): (X/4)

= (6 X/12): (4 X/12): (3 X/12)

= 6: 4: 3

Then the ratio between the times taken by these cars to cover the same distance is 6: 4: 3.

Hence, the correct answer is option (4) 6: 4: 3 .