Problema Solution

the number of workers n required to complete a job varies inversely as the time t spent working. it takes 4 hr for 20 people to raise a barn. how long would it take 25 people to complete the job?

Answer provided by our tutors

n = k/t, where k is constant


t = 4 hr, n = 20 people


20 = k/4


k = 20*4


k = 80


n = 80/t


for n = 25 we have


80/t = 25


t = 80/25


t = 3.2 hr


t = 3 hr 12 min


25 people will complete the job in 3 hr 12 min.