Question: 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
Options:
A) 5
B) 6
C) 7
D) 8
Show Answer
Answer:
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 $