A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)

Answer 1

Given:

A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work.

Concept used:

If A and B alone can complete a task in X and Y days respectively, then they together will take = XY/(X + Y) days to complete the work.

Calculation:

Let's suppose, A and C together can complete the work in N days.

So, B takes = 3N days

According to the concept,

\(\frac {3N \times N}{3N + N}\) = 10 (Here, A and C are being considered a single entity)

⇒ \(\frac {3N}{4}\) = 10

⇒ 3N = 40

∴ B alone will take 40 days to complete the work.