Question

A contractor undertook a project to complete it in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to complete the work in the time the client wanted it:
If the work was further increased by 50% but the contractor continues to increase the 5 workers o every 2 days then how many more days are required over the initial time specified by the client.

A) 1 day B) 2 days C) 5 days D) None of these

Answer 1

Answer:

Option B is the correct answer............

Answer 2

43 th of the work is completed by 60 men in 60 days

43 of the work is completed by 1 man in (60 x 60) days

∴ The whole work will be completed 1 man in (60×60× 34) days

Let the number of men who can complete the remaining

41of the work in remaining 30 days be x.

Then,

41th of the work will be completed by x men in 30 days.

41th of the work will be completed by 1 man in (30x) days

∴ The work will be completed by 1 man in (X x 30 x 4) days

∴60×60× 34

=x×30×4⇒x=40

∴ Number of men who can be discharged =60−40=20