Correct Answer - Option 3 : 60
Given:
Raja + Ram = 30 days
Raja worked = 16 days
Ram finishes rest = 44 days
Formula used:
Total work done (1/T) = (1/T1) + (1/T2) + (1/T3)
Where, T, T1, T2, T3 is time taken to complete the work in days
Calculation:
Assuming raja’s one day of work to be X and ram’s as Y
⇒ X + Y = (1/30) ….(1)
⇒ 16X + 44Y = 1 ….(2)
Solving equation 1 and 2
⇒ X = 1/60
⇒ Y = 1/60
∴ Ram can alone finish the work in 60 days.