Twenty men can finish a piece of work in 30 days. When should 5 men leave the work so that
it may be finished in 35 days
Answers
i think the work should be end in 40 days
Answer:
need explanation?
okk see
EXPLANATION
let the number of days is X after which 5 men would leave the work ...
SO THEY LEFT AFTER X DAYS THAT MEANS THEY HAVE WORKED FOR X DAYS ALSO....
NOW LET THEY DIDN'T LEFT THE WORK THEN THE REMAINING WORK SHOULD BE DONE BY THEM IN (30-X)DAYS.....
I.E.,20 PEAOPLE CAN DO THIS REMAINING WORK IN (30-X) DAYS....
NOW 5 MENS LEAVED SO THE REMAING PEOPLE =(20-5)=15 mens SHOULD HAVE completed this work within (35-x) days cause X days have already gone
so the REMAING work should be done in
so the REMAING work should be done in =(30-x)*(20/15) days
so the REMAING work should be done in =(30-x)*(20/15) days now this is equal to (35-x) days
now according to the question
35=[(30-x)*(20/15)]+X
35=40-4x/3 +X
X/3 =5
X=15 days
so the answer is after 15 days 5 men's leaved the work