45 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ? Select the correct option:
A) 24
B) 77
C) 30
D) 25
E) 13

Rationale: "explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 45 : : 18 : x [ please pay attention , we have written 27 : 45 rather than 45 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \ color { blue } x = \ frac { 45 \ times 18 } { 27 } } x = 30 so 30 days will be required to get work done by 27 men . answer : c"
Answer: C