Solved UPSC CDS/OTA Question
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Q · Ratio and ProportionMedium · 45s
A cow takes 5 leaps for every 4 leaps of a goat, but 3 leaps of the goat are equal to 4 leaps of the cow. What is the ratio of the speed of the cow to that of the goat?
TopicRatio and Proportion
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
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Cow takes 5 leaps for every 4 leaps of the goat. 3 goat leaps = 4 cow leaps → 1 goat leap = 4/3 cow leaps → 1 cow leap = 3/4 goat leap.
Assume goat’s leap length = L → cow’s leap length = 3/4 × L. In same time:
Cow covers 5 × (3/4)L = 15L/4
Goat covers 4 × L = 4L
Speed ratio = (15L/4) : 4L = 15 : 16 Final Answer: Speed of cow to goat = 15:16
Final Answer: Option D - 15 : 16