The ratio of speed of 3 cars are 3 : 4 : 6. What is the ratio of time taken by these cars to cover the same distance?

Given:

Ratio of speeds of 3 cars = 3 : 4 : 6

Formula used:

Time is inversely proportional to speed when the distance is constant. Therefore, the ratio of time taken by the cars will be the inverse of the ratio of their speeds.

Calculation:

Time ratio = 1/3 : 1/4 : 1/6

To simplify, find the LCM of the denominators (3, 4, 6) = 12

Now, convert the ratios:

Time ratio = 12/3 : 12/4 : 12/6

⇒ Time ratio = 4 : 3 : 2

∴ The ratio of time taken by the cars is 4 : 3 : 2.