a certain number of men can finish a piece work in 100..., Chain Rule, General Mathematics

Question:A certain number of men can finish a piece of work in `100` days. If however, there were `10` men less, it would take `10` days more for the work to be finished. How many men were there originally ?

A `75` 
B `82` 
C `100` 
D `110`

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+ AnswerD

+ ExplanationOriginally let there be `x` men.

Less men, more days (Indirect)

`:. (x - 10) : x :: 100 : 110` or

`(x - 10)/x = (100)/(110)` or

`11x - 110 = 10x` or

`x = 110`.

So, originally there were `110` men.

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