Question

A, B and C can complete the work in 2 days. If A alone can complete the work in 4 days and C alone can complete it in 6 days. How many days can B alone accomplish the task?
1. 1/12
2. 12
3. 3
4. 24

Answer 1

Correct Answer - Option 2 : 12

Given:

Work done by all in one day = A + B + C = 1/ 2 

Work done by A in one day = 1/4

Work done by C in one day = 1/6

Calculation:

Work done by B in one day = 1/2 - [1/4 + 1/6]

= 1/2 - 10/24

= (24 - 20) / 48

= 4/48

= 1/ 12

So, B takes 12 days to accomplish the task.