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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?

Correct Answer: 18 days

Explanation:

2(A+B+C)'s 1 day work = 1/30 + 1/24 + 1/20 = 1/8


=>(A+B+C)'s  1 day's work= 1/16


work done by A,B and C in 10 days=10/16 = 5/8


Remaining work= 3/8


A's 1 day's work=  1 16 - 1 24 = 1 48


Now, 1/48 work is done by A in 1 day.


 So, 3/8 work  wil be done by A in =48 x (3/8) = 18 days


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