Multiple choice

The ratio of speeds of three cars is 2 : 5 : 8. What will be the ratio of the time taken by the three cars for covering the same distance?

  1. 20 : 5 : 8

  2. 20 : 8 : 5

  3. 8 : 5 : 2

  4. 2 : 5 : 8
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B Correct answer
Explanation

Time is inversely proportional to speed for a constant distance. If speeds are in ratio 2:5:8, time is in ratio 1/2 : 1/5 : 1/8. Multiplying by the LCM (40) gives 20 : 8 : 5.

AI explanation

Using the formula time equals distance divided by speed, when the distance is constant, time is inversely proportional to speed. Multiplying the given speed ratio of 2 to 5 to 8 by the least common multiple of the speeds (40) gives time ratios of 20, 8, and 5. The ratio of the time taken by the three cars is 20 to 8 to 5.

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