Question

A and B both can complete the work in 16 days. In how many days A alone can complete the work if efficiency of B and A are in ratio 3 : 4 respectively?
1. 28 days
2. 26 days
3. 24 days
4. 12 days
5. None

Answer 1

Correct Answer - Option 1 : 28 days

Given:

A and B both together can complete the work in 16 days

Concept:

Work = Efficiency × Time

Calculation:

Let us assume the efficiency of A and B is 4x and 3x respectively.

⇒ Total work = 16 × 7x = 112x

⇒ A can complete the work in = 112x/4x = 28 days

∴ The required result will be 28 days.