A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than C. Working together, they can do it in:

A    20 days

B    22.5 days

C    25 days

D    30 days

Solution

Correct Answer: Option B

 

Ratio of times taken by A and B = 1 : 3.

The time difference is (3 - 1) 2 days while B take 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes 3/2 x 60 = 90 days.  

So, A takes 30 days to do the work.

A's 1 day's work = 1/30

B's 1 day's work = 1/90

(A + B)'s 1 day's work = 1/30 + 1/90 = 4 = 2/45

 A and B together can do the work in 45/2 = 22 1/2 days.  

 

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