| A and B working separately can do a piece of work in 10 days and 15 days, respectively. If they work on alternate days beginning with A, in how many days will the work be completed? [SSC (CPO) 2013, (CGL) 2003] |
A) 18
B) 13
C) 12
D) 6
Correct Answer: C
Solution :
| Work done by (A + B) in two days |
| \[=\frac{1}{10}+\frac{1}{15}=\frac{3+2}{30}=\frac{5}{30}=\frac{1}{6}\] |
| \[\therefore \]Work done by (A + B) in one day \[=\frac{1}{12}\] |
| Hence, (A + B) can complete the work in 12 days, |
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