ABC26GN3527 · Time and Work

Subject: General Aptitude · Chapter: Time and Work · Exam: 2007 · Marks: · Difficulty:

18 men can complete a piece of work in 63 days. 9 women take 189 days to complete the same piece of work. How many days will 4 men, 9 women and 12 children together take to complete the piece of work if 7 children alone can complete the piece of work in 486 days?
(a)54
(b)63
(c)76
(d)81
(e)None of these
Answer
Answer (as printed): D
Explanation
1 man’s 1 day’s work = = ; 63 × 18 1134 1 1 1 woman’s 1 day’s work = = ; 189 × 9 1701 1 1 1 child’s 1 day’s work = = . 486 × 7 3402 (4 men + 9 women + 12 children)’s 1 days’ work  4 9 12  42 1 =  + + = = .  1134 1701 3402  3402 81 Hence, 4 men, 9 women and 12 children together will complete the work in 81 days. 1 1

Explanation as extracted from the printed page; notation may be imperfect.

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