Discussion :: Time and Work

A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in
Answer : Option A
Explanation :
Ratio of rates of working of A and B = 2 : 1.
So, ratio of times taken = 1 : 2.
B's 1 day's work =\( \frac { 1 } { 12 } \)
A's 1 day's work =\( \frac { 1 } { 6 } \); (2 times of B's work)
(A + B)'s 1 day's work =[\( \frac { 1 } { 6 } \)+\( \frac { 1 } { 2 } \)]=\( \frac { 3 } { 12 } \)=\( \frac { 1} { 4 } \)
So, A and B together can finish the work in 4 days.
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