ABC26GN3449 · Time and Work

Subject: General Aptitude · Chapter: Time and Work · Exam: 2006 · Marks: · Difficulty:

A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in
(a)4 days
(b)6 days
(c)8 days
(d)12 days
Answer
Answer (as printed): C
Explanation
(A + B + C)’s 1 day’s work = ; 6 1 (A + B)’s 1 day’s work = ; 8 1 (B + C)’s 1 day’s work =. 12 ∴ (A + C)’s 1 day’s work  1  1 1   1 5  3 1 = 2 ×  −  +  =  −  = = .  6   8 12   3 24  24 8 So, A and C together will do the work in 8 days. 1

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

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