A and B can do a piece of work in 30 days while B and C can do the same the work in 24 days and C and A in 20 days. The work all together for 10 days when B and D leaves How many day more will A take to finish the work?
Aptitude ( Time and work based question (Wipro)) )
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This is a math question, consider moving it to https://math.stackexchange.com/, but here you go: let 1 be the amount of work, and let A,B and C be the daily work amount of A B and C respectively. What we know is:
Solving for A,B and C you get: a = 1/48 and b = 1/80 and c = 7/240. Then in 10 days the work done is: 10/48+10/80+70/240=0.625, so 0.375 remains, which is 18/48. That means A will need 18 further days to complete the work.