Question 53
The speeds of 3 cars in the ratio 5 : 4 : 6. The ratio between the time taken by them to travel same distance shall be:
Solution
Given speeds: 5:4:6
Time taken is inversely proportional to the speed. Hence, the time taken ratio =
$$\dfrac{1}{5}:\dfrac{1}{4}:\dfrac{1}{6}$$
Convert to whole numbers (LCM = 60)
$$\dfrac{1}{5}=\dfrac{12}{60},\dfrac{1}{4}=\dfrac{15}{60},\dfrac{1}{6}=\dfrac{10}{60}$$
Hence, the final ratio = 12:15:10
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