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A field can be ploughed in 18 days. If everyday an additional area of 16 hectares is ploughed, the field can be ploughed in 12 days. What is the area of the field?
  • a)
    512 hectares
  • b)
    576 hectares
  • c)
    528 hectares
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A field can be ploughed in 18 days. If everyday an additional area of ...
Let the area of the field ploughed daily be x hectares.
Area of the field = 18x
⇒ 18x = (x + 16) 12
⇒ 18x = 12x + 16 × 12
⇒ 6x = 16 × 12
⇒ 
​Area of the field = 18 × 32 = 576 hectares
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Most Upvoted Answer
A field can be ploughed in 18 days. If everyday an additional area of ...
I don't think the answer option B.
I think the answer is None of these.
The correct answer should be 192.
They can plough 16 hectares each day.
They can plough that field in just 12 days.
Hence the calculation should be 192 because 16×12 is 192.
Please upvote to me and my answer if I am correct.
If you don't want to upvote to me then you could at least follow me.
please!!!
Free Test
Community Answer
A field can be ploughed in 18 days. If everyday an additional area of ...
Let's assume the area of the field is x hectares.

First scenario:
In the first scenario, the field is ploughed in 18 days. This means that each day, 1/18th of the field is ploughed. Therefore, the daily ploughing rate is x/18 hectares.

Second scenario:
In the second scenario, each day an additional area of 16 hectares is ploughed. So, the daily ploughing rate in this scenario is (x/18) + 16 hectares.

Using the given information, we can set up the following equation:

12 * [(x/18) + 16] = x

Simplifying the equation:

12 * (x/18) + 12 * 16 = x
(2/3) * x + 192 = x
192 = x - (2/3) * x
192 = (1/3) * x

Solving for x:

x = 192 * 3
x = 576 hectares

Therefore, the area of the field is 576 hectares, which corresponds to option B.
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A field can be ploughed in 18 days. If everyday an additional area of 16 hectares is ploughed, the field can be ploughed in 12 days. What is the area of the field?a)512 hectaresb)576 hectaresc)528 hectaresd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A field can be ploughed in 18 days. If everyday an additional area of 16 hectares is ploughed, the field can be ploughed in 12 days. What is the area of the field?a)512 hectaresb)576 hectaresc)528 hectaresd)None of theseCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A field can be ploughed in 18 days. If everyday an additional area of 16 hectares is ploughed, the field can be ploughed in 12 days. What is the area of the field?a)512 hectaresb)576 hectaresc)528 hectaresd)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A field can be ploughed in 18 days. If everyday an additional area of 16 hectares is ploughed, the field can be ploughed in 12 days. What is the area of the field?a)512 hectaresb)576 hectaresc)528 hectaresd)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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