Question 108
'x' number of men can finish a piece of work is 30 days. If there were 6 men more, the work culd be finished in 10 days less. The original number of men is
Solution
Let's say initial $$x$$ number of people were there, hence in a day efficiency of 1 man will be = $$\frac{1}{30x} $$
For $$x+6$$ same people efficiency of 1 man will be = $$\frac{1}{20(x+6)}$$
and both should be equal.
$$\frac{1}{30x} $$ = $$\frac{1}{20(x+6)}$$
after solving it, we will get $$x$$ = 12
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