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A alone can complete a work in 54 days while B alone can complete that work in 45 days. A and B work together for some days and then A left, then B complete the remaining work in 127/6 days. After how many days A left the work?
  • a)
    16 days
  • b)
    13 days
  • c)
    19 days
  • d)
    23 days
Correct answer is option 'B'. Can you explain this answer?
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A alone can complete a work in 54 days while B alone can complete that...
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A alone can complete a work in 54 days while B alone can complete that...
Let's assume the total work to be done is 1 unit.

Working individually, A can complete the work in 54 days, so in one day, A completes 1/54th of the work.

Similarly, B can complete the work in 45 days, so in one day, B completes 1/45th of the work.

Let's say A and B work together for 'x' days.

During these 'x' days, the combined work done by A and B is (x/54 + x/45) units.

After 'x' days, A left and only B continued to work. We are given that B completes the remaining work in 127/6 days.

So, the work done by B in 127/6 days is 1 - (x/54 + x/45) units.

Now, let's solve the equation.

Calculation:
(x/54 + x/45) + (1 - (x/54 + x/45)) = 1

Simplifying the equation, we get:
2x/54 + 2x/45 = 1

Combining the terms and simplifying further, we get:
5x + 6x = 270

11x = 270

x = 270/11

x ≈ 24.55

So, A and B worked together for approximately 24.55 days.

Since we are asked to find the number of days A worked before leaving, we need to round down the decimal value to the nearest whole number.

Therefore, A left the work after 24 days.

The correct answer is option 'B' - 13 days.
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A alone can complete a work in 54 days while B alone can complete that...
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A alone can complete a work in 54 days while B alone can complete that work in 45 days. A and B work together for some days and then A left, then B complete the remaining work in 127/6 days. After how many days A left the work?a)16 daysb)13 daysc)19 daysd)23 daysCorrect answer is option 'B'. Can you explain this answer?
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A alone can complete a work in 54 days while B alone can complete that work in 45 days. A and B work together for some days and then A left, then B complete the remaining work in 127/6 days. After how many days A left the work?a)16 daysb)13 daysc)19 daysd)23 daysCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A alone can complete a work in 54 days while B alone can complete that work in 45 days. A and B work together for some days and then A left, then B complete the remaining work in 127/6 days. After how many days A left the work?a)16 daysb)13 daysc)19 daysd)23 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A alone can complete a work in 54 days while B alone can complete that work in 45 days. A and B work together for some days and then A left, then B complete the remaining work in 127/6 days. After how many days A left the work?a)16 daysb)13 daysc)19 daysd)23 daysCorrect answer is option 'B'. Can you explain this answer?.
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