Question

A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

विकल्प

• `9 1/5` days

• `9 2/5` days

• `9 3/5` days

• 10

Answer 1

`9 3/5` days

Explanation:

(A + B + C)’s 1 day's work = `1/4`

A’s 1 day’s work = `1/16`

B’s 1 day’s work = `1/12`

∴ C’s 1 day’s work = `1/4 - (1/16 + 1/12) = (1/4 - 7/48) = 5/48`

So, C alone can do the work in `48/5 = 9 3/5` days.