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A and B Can Together Finish Work in 30 Days. They Worked Together for 20 Days and Then B Left. After Another 20 Days, a Finished the Remaining Work. in How Many Days, a Alone Can Finish the Work? - Mathematics

MCQ

A and B can together finish work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days, A alone can finish the work?

Options

  • 40 days

  • 50 days

  • 54 days

  • 60 days

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Solution

60 days
Explanation:

(A + B)'s 20 day's work = `(1/30xx20)=2/3`

Remaining work = `(1-2/3)=1/3`

Now, `1/3` work is done by A in 20 days.

Therefore, the whole work will be done by A in (20 x 3) = 60 days

Concept: Time and Work (Entrance Exam)
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