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12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?
- a)22/3 acres
- b)39/8 acres
- c)40/11 acres
- d)25/9 acres
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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12 horses and 18 cows eat the grass of 6 acres in a certain time. How ...
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Given Information:
- 12 horses and 18 cows eat the grass of 6 acres in a certain time.
- A horse eats as much as 3 cows.
To Find:
- How many acres will feed 18 horses and 12 cows for the same time.
Solution:
Step 1: Calculate the total consumption of grass in acres for 12 horses and 18 cows
- Let the amount of grass consumed by one cow in a certain time be x acres.
- Then, the amount of grass consumed by one horse in the same time = 3x acres.
- Total grass consumed by 18 cows = 18x acres.
- Total grass consumed by 12 horses = 12 * 3x = 36x acres.
- Total grass consumed by 12 horses and 18 cows = 18x + 36x = 54x acres.
Step 2: Finding the amount of grass consumed by 1 horse and 1 cow
- Total grass consumed by 12 horses and 18 cows = 54x acres.
- This is consumed from 6 acres of grass.
- So, 54x = 6
- x = 6/54 = 1/9 acres
Step 3: Calculate the total consumption of grass in acres for 18 horses and 12 cows
- Total grass consumed by 18 horses = 18 * 3 * (1/9) = 6 acres
- Total grass consumed by 12 cows = 12 * 1/9 = 4/3 acres
- Total grass consumed by 18 horses and 12 cows = 6 + 4/3 = 18/3 + 4/3 = 22/3 acres
Therefore, 18 horses and 12 cows will eat the grass of 22/3 acres in the same time. Hence, option A is the correct answer.
- 12 horses and 18 cows eat the grass of 6 acres in a certain time.
- A horse eats as much as 3 cows.
To Find:
- How many acres will feed 18 horses and 12 cows for the same time.
Solution:
Step 1: Calculate the total consumption of grass in acres for 12 horses and 18 cows
- Let the amount of grass consumed by one cow in a certain time be x acres.
- Then, the amount of grass consumed by one horse in the same time = 3x acres.
- Total grass consumed by 18 cows = 18x acres.
- Total grass consumed by 12 horses = 12 * 3x = 36x acres.
- Total grass consumed by 12 horses and 18 cows = 18x + 36x = 54x acres.
Step 2: Finding the amount of grass consumed by 1 horse and 1 cow
- Total grass consumed by 12 horses and 18 cows = 54x acres.
- This is consumed from 6 acres of grass.
- So, 54x = 6
- x = 6/54 = 1/9 acres
Step 3: Calculate the total consumption of grass in acres for 18 horses and 12 cows
- Total grass consumed by 18 horses = 18 * 3 * (1/9) = 6 acres
- Total grass consumed by 12 cows = 12 * 1/9 = 4/3 acres
- Total grass consumed by 18 horses and 12 cows = 6 + 4/3 = 18/3 + 4/3 = 22/3 acres
Therefore, 18 horses and 12 cows will eat the grass of 22/3 acres in the same time. Hence, option A is the correct answer.
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12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer?
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12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer?.
12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12 horses and 18 cows eat the grass of 6 acres in a certain time. How many acres will feed 18 horses and 12 cows for the same time, supposing a horse eats as much as 3 cows?a) 22/3 acresb) 39/8 acresc) 40/11 acresd) 25/9 acrese)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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