A is thrice as good a workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:
A). 24 ½ days
B). 23 ½ days
C). 22 ½ days
D). 21 ½ days
22 ½ days
That is, 3 A = B, replacing 3 A in place of B, we get
3 A – A = 60 days
A = 30 days, i.e. A alone can finish the work in 30 days
Then, B alone can finish the work in 3 ×30 = 90 days
Therefore, working together they can finish it in 30 × 90/ 120 days. = 22 ½ days.