Peter is twice as good as workman as Tom. When they work together they can finish a task in 16 days. If Tom works alone, in how many days he will complete the task?

Question: Peter is twice as good as workman as Tom. When they work together they can finish a task in 16 days. If Tom works alone, in how many days he will complete the task?

Solution:
(Peter + Tom)'s one-day work = 1/16
As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time.

Therefore, 2/3 of their one day's work will be completed by Peter and 1/3 of their one day work will be completed by Tom.

So, Tom's one day work will be = (1/16) × (1/3) = 1/48
So, Tom will take 48 days to complete the task.