Relation Between Efficiency and Time A is twice as good a workman as B and is therefore able to finish a piece of work in 30 days less than B.In how many days they can complee the whole work; working together?

Answer:

Ratio of times taken by A and B = 1 : 2.

The time difference is (2 – 1) 1 day while B take 2 days and A takes 1 day.

If difference of time is 1 day, B takes 2 days.

If difference of time is 30 days, B takes 2 x 30 = 60 days.

So, A takes 30 days to do the work.

A’s 1 day’s work = 1/30

B’s 1 day’s work = 1/60

(A + B)’s 1 day’s work = 1/30 + 1/60 = 1/20

A and B together can do the work in 20 days.