Given: A and B working together can complete a job in 30 days. The ratio of their efficiencies is 3 : 2. Calculation: Let total work to be done = 150 units Let efficiency of A and B respectively be 3x and 2x units/day ⇒(3x+2x)×30=150 ⇒x=1 Time taken by faster person, i.e A =
150
3×1
=50 days ∴ The time taken by faster person is 50 days Time is taken by A alone =30×
3+2
3
=50 days ∴ The time taken by faster person is 50 days