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Question
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
MCQ
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.
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Time and Work (Entrance Exam)
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