| 12 men and 16 boys can do a piece of work in 5 days while 13 men and 24 boys finish it in 4 days. 5 men and 10 boys will finish it in |
A) 10 days
B) 12 days
C) 9 days
D) 15 days
Correct Answer: A
Solution :
| \[(12m+16b)\]can do a work in 5 days. |
| \[(60m+80b)\]can do a work in 1 day. |
| \[(13m+24b)\]can do a work in 4 days. |
| \[(52m+96b)\]can do a work in 1 day. |
| \[60m+80b=52m+96b\] |
| \[\Rightarrow \] \[8m=16b\] \[\Rightarrow \] \[m=2b\] |
| Now, \[12\,\,m+16b=12\times 2+16=40\]boys can do work in 5 days. |
| \[\therefore \] \[5m+10b=[5\times 2+10]\] |
| = 20 boys will take |
| \[=\frac{40\times 5}{20}=10\,\,\text{days}\] |
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