Men’s are Joining Together -Time and work Quantitative Aptitude Question and Answer From R.S Aggarwal Book

Question: 45 men’s can complete a work in 16 days. Six days after they started working 30 more men joined them. How many days will they now take to complete there reaming work? Time and work quantitative aptitude Question and Answer From R.S Aggarwal Book
Answer
First data: 45 men complete a work in 16 days.
Second data: 6 days after they started working 30 more men joined them.
Final question: how many days they will need to complete to finish remaining work?

mens * days = total work

45 *16=720

One man do work in one day=1/720

45 men’s one day work(within 6 days) 1/16

Within 6 days they complete job=days*one day work=6*1/16=6/16=3/8

Remaining job=1-3/8=5/8
See the time and work formula
75 men do work in single day=total no of man/(total work)=75/720=5/48


Days * per day work = total work
X*5/48=5/8
X==(5/8*48/5)=6 days

They will need 6 days to complete reaming work Reference form R.S Aggarwal Book