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Time and Work - General Aptitude

Q1:

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

A 18 days

B 24 days

C 30 days

D 36 days

ANS:A - 18 days

2(A + B + C)'s 1 day's work = ( 1 + 1 + 1 ) = 15 = 1 .
30 24 20 120 8
Therefore, (A + B + C)'s 1 day's work = 1 = 1 .
2 x 8 16
Work done by A, B, C in 10 days = 10 = 5 .
16 8
Remaining work = ( 1 - 5 ) = 3 .
8 8
A's 1 day's work = ( 1 - 1 ) = 1 .
16 24 48
Now, 1 work is done by A in 1 day.
48
So, 3 work will be done by A in ( 48 x 3 ) = 18 days.
8 8