| 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? |
A) 27
B) 24
C) 18
D) 32
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 \[(40-10)=30\,\,\text{days}\] |
| According to the question, |
| \[\therefore \] \[x\times 40=30\,\,(x+8)\] |
| \[\Rightarrow \] \[40x=30x+240\]\[\Rightarrow \]\[x=24\] |
| The number of men afterwards \[=24+8=32\,\,\text{men}\] |
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