| If the work done by \[(x-1)\]men in \[(x+1)\]days and the work done by \[(x+2)\]men in \[(x-1)\] days are in the ratio 9:10, then the value of \[x\] is equal to [SSC (10+2) 2011] |
A) 5
B) 6
C) 7
D) 8
Correct Answer: D
Solution :
| Total number of hours work done by\[(x-1)\] men in \[(x+1)\]days\[=(x-1)(x+1)\] |
| and total number of hours work done by \[(x+2)\]men in\[(x-1)\]days \[=(x+2)(x-1)\] |
| According to the question, |
| \[\therefore \] \[\frac{(x-1)(x+1)}{(x+2)(x-1)}=\frac{9}{10}\] |
| \[\Rightarrow \] \[10x+10=9x+18\]\[\Rightarrow \]\[x=8\] |
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