a is thrice as good a workman b and takes 10 days..., Time & Work, General Mathematics

Question:A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in:

A 12 days 
B 15 days 
C 20 days 
D 30 days

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+ AnswerB

+ Explanationsolution:
Ratio of times taken by `A & B = 1 : 3`.
If difference of time is 2 days, B takes 3 days.
If difference of time is 10 days, B takes `(3/2 xx 10)`
                                                               = `15` days.

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