Question

A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

विकल्प

• 4 days

• 6 days

• 8 days

• 12 days

Answer 1

6 days

Explanation:

Suppose A, B and C take x, `x/2` and `x/3` days respectively to finish the work.

Then, `(1/x + 2/x + 3/x) = 1/2`

⇒ `6/x = 1/2`

⇒ x = 12

So, B takes `(12/2)` = 6 days to finish the work.