Question: A certain number of men complete a piece of work in 40 days. If there were 8 men more the work could be finished in 10 days less. How many men were there afterwards?
Options:
A) 27
B) 24
C) 18
D) 32
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the number of men be x. So, x men can do a work in 40 days. $ (x+8) $ men can do the same work in $ (40-10)=30days $
According to the question,
$ \therefore $ $ x\times 40=30(x+8) $
$ \Rightarrow $ $ 40x=30x+240 $
$ \Rightarrow $ $ x=24 $
The number of men afterwards $ =24+8=32men $