Question

A and B can complete a piece of work in 12 and 18 days respectively. A begins to do the work and they work alternatively one at a time for one day each. The whole work will be completed in: 

(a) 43/3 days 

(b) 46/3 days 

(c) 48/3 days 

(d) 56/3 days

Answer 1

Correct option (a) 43/3 days

Explanation: 

A’s one day work = 3 units

B’s one day work = 2 units

A starts the work and does 3 units and B does the work 2 units/days

They both do 5 units of work in 2 days. They both do 35 units of work in 14 days