A) 36
B) 18
C) 27
D) 12
Correct Answer: A
Solution :
8 men + 12 boys complete a work in 15 days \[\therefore \]8 men's +12 boys? 1 day's work \[=\frac{1}{15}\] Now, Also, 10 men complete the same work in 18 days \[\therefore \]10 men's 1 day's work \[=\frac{1}{18}\] \[\therefore \]1 man's 1 day's work\[=\frac{1}{18\times 10}\] \[\therefore \]8 men's I day's work \[=\frac{8}{18\times 10}=\frac{2}{45}\] \[\therefore \]12 boys' I day's work \[=\frac{1}{15}-\frac{2}{45}=\frac{3-2}{45}=\frac{1}{45}\] \[\therefore \]1 boy's I day's work \[=\frac{1}{45\times 12}\] \[\therefore \]15 boy's I day's work \[=\frac{15}{45\times 12}=\frac{1}{36}\] \[\therefore \] Required number of days =36 days
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