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Sticky Note
If A can complete a work in 18 days, B in 20 days, and C in 30 days, B and C work together for 2 days and then leave. How many days will A take to complete the remaining work?
  1. 13 days
  2. 14 days
  3. 15 days
  4. None of these
Explanation

B's 1 day work = 1/20

C's 1 day work = 1/30

(B+C)'s 1 day work = 1/20 + 1/30 = 1/12

(B+C)'s 2 days work = 2 × 1/12 = 1/6

Remaining work = 1 - 1/6 = 5/6

A's 1 day work = 1/18

Time taken by A to complete 5/6 work:

= (5/6) / (1/18)

= 5/6 × 18

= 15 days


Last verified on 04-02-2026

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