Question

A certain number of men can finish a piece of work in 100 days.if there were ten men less ,it would take ten days more for the work to be finished. how many men were there originally

Answer 1

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Answer 2

let, total number of men=X
if 10 men less,then total number of members are (x-10)
X number of men finish a work in 100 days
1 number of men finish this work in (100*X) days
(x-10) number of men finish this work in 100x/(x-10) days
according to the question, if there were 10 men less,it would take 10 days more
therefore,total time=(100+10)=110days
therefore,
100x/(x-10)=110
100x=110(x-10)
100x=110x-1100
10x=1100
X=110
total number of men are 110