Problema Solution
A job was wrongly estimated to be completed in 10 days by x machines. By deploying 3 extra machines, the job
was completed in 12 days. If only one additional machine was used, the no. of days more than that estimated it
has taken to complete the job will be ?
Answer provided by our tutors
x+3 machine can do the work in 12 days.
so, in 1 day 1 machine can do, 1/12(x+3) work
in 1 day x+1 machine can do (x+1)/(12x+36) work
So, X+1 machine can complete work in (12x+36)/(x+1) days
Wrong estimate,
x machine can do 1 work in 10 days
1 machine can do work in 10x days
x+1 machin can do work in 10x/(x+1) days
so, More time taken = 12x+36/(x+1) - 10x/(x+1)
= 12x+36-10x/(x+1)
= (2x+36)/(x+1) days