A can do a work in 10 days and B in 20 days. If they together work on it for 5 days, then the fraction of the work that is left is:

 a) 4/3
 b) 1/4
 c) 3/4
 d) 3/20
SSC CGL-2015

1/4.
Solution
A's 1 day work = 1/10
B's 1 day work = 1/20

(A+B)'s 1 day work = 1/10 + 1/20 = 3/20
(A+B)'s 5 day work = 5 x 3/20 = 15/20
Fraction of work left = 5/20 = 1/4
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