| If 2 men and 3 boys can do a piece of work in 16 days and 3 men and 2 boys can do it in 14 days, how long will 5 men and 4 boys take to do it? |
A) 6 days
B) 8 days
C) 9 days
D) 10 days
Correct Answer: B
Solution :
| 2 men + 3 boys can do a work in 16 days. |
| \[\Rightarrow \]32 men and 48 boys can do the work in 1 day |
| Again, 3 men + 2 boys can do the work in 14 days. |
| \[\Rightarrow \]42 men + 28 boys can do the work in 1 day. |
| \[\therefore \]42 men + 28 boys = 32 men + 48 boys |
| 10 men = 20 boys |
| \[\Rightarrow \] 1 man = 2 boys |
| Now, 2 men + 3 boys = 2 (2) boys + 3 boys =7 boys |
| \[\therefore \]5 men + 4 boys = 5(2) boys + 4 boys = 14 boys |
| 7 boys can do the work in = 16 days |
| \[\therefore \]14 boys can do the work in \[=\frac{7\times 16}{14}=8\,\,\text{days}\] |
You need to login to perform this action.
You will be redirected in
3 sec
