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A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?
- a)16:5
- b)20:19
- c)18:23
- d)17:21
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox...
Given:
- A horse takes 8 steps for every 5 steps of a fox.
- 6 steps of a fox are equal to the 3 steps of the horse.
To find: Ratio of the speed of horse to the fox.
Solution:
Let's assume that the horse takes 8 steps in time 't' and the fox takes 5 steps in the same time 't'.
Then, the speed of the horse is 8/t and the speed of the fox is 5/t.
Now, we know that 6 steps of a fox are equal to the 3 steps of the horse.
So, in the same time 't', the fox takes 6/5 of its steps and the horse takes 3/8 of its steps.
Therefore, we can equate their distances covered in time 't':
(5/t) x (6/5) = (8/t) x (3/8)
Simplifying this equation, we get:
6 = 6
This means that the distances covered by both the horse and the fox are equal in the same time 't'.
Therefore, we can say that the speed of the horse is proportional to 8 and the speed of the fox is proportional to 5.
So, the ratio of the speed of horse to the fox is:
8:5
Multiplying both sides by 5, we get:
40:25
Simplifying this ratio, we get:
16:5
Hence, the correct answer is option (A).
Final Answer: Option (A) 16:5
- A horse takes 8 steps for every 5 steps of a fox.
- 6 steps of a fox are equal to the 3 steps of the horse.
To find: Ratio of the speed of horse to the fox.
Solution:
Let's assume that the horse takes 8 steps in time 't' and the fox takes 5 steps in the same time 't'.
Then, the speed of the horse is 8/t and the speed of the fox is 5/t.
Now, we know that 6 steps of a fox are equal to the 3 steps of the horse.
So, in the same time 't', the fox takes 6/5 of its steps and the horse takes 3/8 of its steps.
Therefore, we can equate their distances covered in time 't':
(5/t) x (6/5) = (8/t) x (3/8)
Simplifying this equation, we get:
6 = 6
This means that the distances covered by both the horse and the fox are equal in the same time 't'.
Therefore, we can say that the speed of the horse is proportional to 8 and the speed of the fox is proportional to 5.
So, the ratio of the speed of horse to the fox is:
8:5
Multiplying both sides by 5, we get:
40:25
Simplifying this ratio, we get:
16:5
Hence, the correct answer is option (A).
Final Answer: Option (A) 16:5
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Community Answer
A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox...
6 step fox=3 step horse = 2:1
16 step fox=8step horse=5 step fox
16 step fox=5 step fox
16:5
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A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?a)16:5b)20:19c)18:23d)17:21e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?a)16:5b)20:19c)18:23d)17:21e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?a)16:5b)20:19c)18:23d)17:21e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?a)16:5b)20:19c)18:23d)17:21e)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?a)16:5b)20:19c)18:23d)17:21e)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A horse takes 8 steps for every 5 steps of a fox, but 6 steps of a fox are equal to the 3 steps of the horse. What is the ratio of the speed of horse to the fox ?a)16:5b)20:19c)18:23d)17:21e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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