A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?a)18 daysb)27 daysc)26.66 daysd)16 dayse)None of the AboveCorrect answer is option 'A'. Can you explain this answer?

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a)
18 days
b)
27 days
c)
26.66 days
d)
16 days
e)
None of the Above

Correct answer is option 'A'. Can you explain this answer?

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A can complete a project in 20 days and B can complete the same proje...

If A can complete a project in 20 days, then A will complete 1/20 th of the project in a day.

Similarly, B will complete 1/30 th of the project in a day.

Let the total number of days taken to complete the project be x days.

Then, B would have worked for all x days, while A would have worked for (x - 10) days.

Therefore, A would have completed x-10/20 th of the project and B would have completed x/30 th of the project.

i.e., (x-10)/20+ x/30=1

Solving for x, we get x = 18.

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A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?a)18 daysb)27 daysc)26.66 daysd)16 dayse)None of the AboveCorrect answer is option 'A'. Can you explain this answer?

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