Discussion :: Time and Work

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:
Answer : Option B
Explanation :
Ratio of times taken by A and B = 1 : 3.
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 .
If difference of time is 60 days, B takes[\( \frac { 3 } { 2 }*60] \)= 90 days.
So, A takes 30 days to do the work.
A's 1 day's work =\( \frac { 1 } { 30 } \)
B's 1 day's work =\( \frac { 1 } { 90 } \)
(A + B)'s 1 day's work =[\( \frac { 1 } { 30 } \)+\( \frac { 1 } { 90 } \)]=\( \frac { 4 } { 90 } \)=\( \frac { 2 } {45 } \)
A and B together can do the work in\( \frac { 45 } {2 } \)=22\( \frac { 1 } {2 } \)days.
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