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Time and Work - General Aptitude

Q1:

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 :

A 4 days

B 6 days

C 8 days

D 18 days

ANS:A - 4 days

Ratio of rates of working of A and B = 2 : 1. So, ratio of times taken = 1 : 2.

B's 1 day's work = 1 .
12
Therefore A's 1 day's work = 1 ; (2 times of B's work)
6
(A + B)'s 1 day's work = ( 1 + 1 ) = 3 = 1 .
6 12 12 4
So, A and B together can finish the work in 4 days.