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The speeds of three cars are in the ratio 2:3:4. The ratio between the time taken by these cars to cover the same distance is :
Question

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

A.

2:3:4

B.

4:3:2

C.

4:3:6

D.

6:4:3

Correct option is D

Given:
Ratio of speeds of three cars = 2:3:4
Distance covered is the same for all cars.
Formula Used:
Time = DistanceSpeed \frac{Distance}{Speed}​​
Time is inversely proportional to Speed when Distance is constant.
Solution:
Let the distance be D.
The ratio of their times will be the inverse of the ratio of their speeds:
Time Ratio = 12:13:14 \frac{1}{2} : \frac{1}{3} : \frac{1}{4}​​

Time Ratio = (12×12):(13×12):(14×12) (\frac{1}{2} × 12) : (\frac{1}{3} × 12) : (\frac{1}{4} × 12)​​
Time Ratio = 6 : 4 : 3
Final Answer
So the correct answer is (d)

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