Subject
Quantitative Aptitude
Topic
Time and Work
A & B can do a work in 72 days, B & C can do it in 120 days, A and C can do it in 90 days. A alone can do it in?
A & B can do a work in 72 days, B & C can do it in 120 days, A and C can do it in 90 days. A alone can do it in?
ক)
150খ)
120গ)
100ঘ)
80Explanation
(A + B)' s 1 day's work = 1/72 (B + C)' s 1 day's work = 1/120 (A + C)'s 1 day's work = 1/90 Adding, we get, 2 (A + B + C)'s 1 days work = (1/72 + 1/120 + 1/90) = 12/360 = 1/30 (A + B + C)'s 1 day's work = 1/60 A's 1 day's work = (1/60) - (1/120) ∴ A alone can finish the work in 120 days.Related questions
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