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A, B and C Can Do a Piece of Work in 20, 30 and 60 Days, Respectively. in How Many Days Can a Do the Work, If He is Assisted by B and C on Every Third Day? - Mathematics

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MCQ

A, B and C can do a piece of work in 20, 30 and 60 days, respectively. In how many days can A do the work, if he is assisted by B and C on every third day?

Options

  • 12 days

  • 15 days

  • 16 days

  • 18 days

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Solution

15 days

Explanation:

A's 2 day's work = `(1/20 xx 2) = 1/10`

(A + B + C)'s 1 day's work = `(1/20 + 1/30 + 1/60) = 6/60 = 1/10`

Work done in 3 days = `(1/10 + 1/10) = 1/5`

Now, `1/5` work is done in 3 days

∴ Whole work will be done in (3 × 5) = 15 days.

Concept: Time and Work (Entrance Exam)
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