Question

A can complete the work in 27 days. B can complete the work in 54 days. A started the work and left after 3 days. Remaining work completed by B. In what time work had completed?

1. 17
2. 51
3. 48
4. 32

Answer 1

Correct Answer - Option 2 : 51

Given:

A can complete the work in = 27 days

B can complete the work in = 54 days

Calculation:

⇒ One day work of A = 1/27 

⇒ One day work of B = 1/54

⇒ 3 days of the work of A = 3/27 = 1/9

⇒ Remaining work = 1 - 1/9 = 8/9

⇒ B will complete the remaining work = (8/9) × 54 = 48 days

⇒ Total work will be completed = 48 + 3 = 51 days

∴ The required result will be 51 days.