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Multiple Choice Questions

A and B can do a piece of work in 40 days B and C can do it in 120 days If B alone can do it in 180 ...........

Quantitative Aptitude (SBI-CL) Time and work

A and B can do a piece of work in 40 days, B and C can do it in 120 days. If B alone can do it in 180 days, in how many days will A and C do it together?

Explanation:

A + B take 40 days. B alone takes 180 days.
∴ A will take 1/40 – 1/180 = 7/360 ⇒ 360/7 days.
B + C take 120 days. ∴ C alone will take 1/120 – 1/180 = 1/360
i.e. 360 days. ∴ A & C together will take 7/360 + 1/360
= 8/360 ⇒ 360/8 = 45 days to complete the work.

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