| A man, a woman and a boy together finish a piece of work in 6 days. If a man and a woman can do the work in 10 and 24 days, respectively. The days will be taken by a boy to finish the work is [SSC (CGL) 2014] |
A) 30
B) 35
C) 40
D) 45
Correct Answer: C
Solution :
| 1 day work of a man, a woman and a boy \[=\frac{1}{6}\] |
| 1 day work of a man \[=\frac{1}{10}\] |
| 1 day work of a woman \[=\frac{1}{24}\] |
| 1 day work of a boy \[=\frac{1}{6}-\frac{1}{10}-\frac{1}{24}\] |
| \[=\frac{20-12-5}{120}=\frac{3}{120}=\frac{1}{40}\] |
| Hence, boy will finish the work in 40 days. |
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