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

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1. 

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

[A]. 20 days
[B]. 22 1/2 days
[C]. 25 days
[D]. 30 days

Answer: Option B

Explanation:

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 1-sym-oparen-h1 3 x 60 1-sym-cparen-h1 = 90 days.
2

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-sym-oparen-h1 1 + 1 1-sym-cparen-h1 = 4 = 2
30 90 90 45
 A and B together can do the work in 45 = 22 1 days.
2 2
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