A can do a piece of work in 20 days while B can do it in 25 days With the help of C they can f...........

Quantitative Aptitude (CDS) Time and work

A can do a piece of work in 20 days, while B can do it in 25 days. With the help of C they can finish the work in 10 days. How much time is required for C to complete the work, alone?

110days

100days

90days

80days

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Explanation:

Efficiency of A = 100/20 = 5%
Efficiency of B = 100/25 = 4%
Efficiency of (A+B+C) =100/10= 10%
Efficiency of C = (10)-(5 +4) = 1%
Number of days required by C to complete the work alone
100/1 = 100 days