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Time and Work - General Aptitude

Q1:

A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

A 15 days

B 20 days

C 25 days

D 30 days

ANS:C - 25 days

(A + B)'s 1 day's work = 1
10
C's 1 day's work = 1
50
(A + B + C)'s 1 day's work = 1 + 1 = 6 = 3 . .... (i)
10 50 50 25
A's 1 day's work = (B + C)'s 1 day's work .... (ii)
From (i) and (ii), we get: 2 x (A's 1 day's work) = 3
25
 A's 1 day's work = 3 .
50
 B's 1 day's work 1 - 3 = 2 = 1 .
10 50 50 25
So, B alone could do the work in 25 days.