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Time and Work - General Aptitude

Q1:

A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

A
1 day
24

B
7 day
24

C
3 3 days
7
 
 

D 4 days

ANS:C -

3 3 days
7
 
 

Formula: If A can do a piece of work in n days, then A's 1 day's work = 1 .
n
(A + B + C)'s 1 day's work = 1 + 1 + 1 = 7 .
24 6 12 24
Formula: If A's 1 day's work = 1 , then A can finish the work in n days.
n
So, all the three together will complete the job in 24  days = 3 3 days.
7 7