Problema Solution

group of n people can finish a project in s days. if x more people join the group,which expression shows the number of days they will take to finish the project together

Answer provided by our tutors

We will assume that each person works at the same rate: 'v' project per day


The together rate of n people is: 1/s project per day


n*v = 1/s


v = 1/(sn)


Let t represent the number of days that n + x people need to finish the job then:


(n + x)*v = 1/t


t = 1/(n + x)*v


t = 1/((n + x)*(1/sn))


t = sn/(n + x)


n + x people will need sn/(n + x) days to finish the project together.