Correct Answer - Option 3 : 10(2/3) days
Given:
Ram is twice as good a workman as Sham
Ram can finish a piece of work in 16 days less than Sham
Formula:
(A + B)’s 1 day work = 1/A + 1/B
Calculation:
Ratio of times taken by Ram and Sham = 1 : 2.
The time difference is (2 - 1) = 1 days
Sham take 2 days and Ram takes 1 day.
If difference of time is 1 day, B takes 2 days.
If difference of time is 16 days,
Sham takes 2 x 16 = 32 days.
So, Ram takes 16 days to do the work.
Ram's 1 day's work = 1/32
Sham's 1 day's work = 1/16
(Ram + Sham)'s 1 day's work = 1/32 + 1/16 = 3/32 work
⇒ 32/3 days = 10(2/3)
∴ Ram and Sham together can do the work in 10(2/3) days.
