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A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
  • a)
    46/5
  • b)
    47/5
  • c)
    48/5
  • d)
    10
Correct answer is 'C'. Can you explain this answer?
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A can lay railway track between two given stations in 16 days and B ca...

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A can lay railway track between two given stations in 16 days and B ca...
Given information:
- A can lay railway track between two given stations in 16 days.
- B can lay railway track between two given stations in 12 days.
- A, B, and C completed the job in 4 days.

Let's assume the total work to be done is represented by "W". We need to find out the time taken by C alone to complete the job.

Calculating the work done by A, B, and C in 1 day:
- A can complete 1/16th of the work in 1 day.
- B can complete 1/12th of the work in 1 day.
- Let's assume C can complete 1/xth of the work in 1 day.

So, in 4 days, the work done by A, B, and C together is:
4 * (1/16 + 1/12 + 1/x) = 1

Simplifying the equation:
Multiplying both sides of the equation by 48x (to eliminate fractions):

4 * (3x + 4x + 48) = 48x
12x + 16x + 192 = 48x
28x + 192 = 48x

Subtracting 28x from both sides of the equation:

192 = 48x - 28x
192 = 20x

Dividing both sides of the equation by 20:

192/20 = x
9.6 = x

Therefore, C can complete the job alone in 9.6 days.

Converting 9.6 days into a mixed fraction:
9.6 = 9 + 0.6
9.6 = 9 + 6/10
9.6 = 9 + 3/5

Hence, C can complete the job alone in 9 days and 3/5 of a day, which is equivalent to 48/5 days.

Therefore, the correct answer is option (c) 48/5 days.
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A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:a)46/5b)47/5c)48/5d)10Correct answer is 'C'. Can you explain this answer?
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A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:a)46/5b)47/5c)48/5d)10Correct answer is 'C'. 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 A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:a)46/5b)47/5c)48/5d)10Correct answer is 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:a)46/5b)47/5c)48/5d)10Correct answer is 'C'. Can you explain this answer?.
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