SOLUTION: In Ngomongo village a piece of work can be completed by 45 workers in 10 days .They work for 4 days after which 15 workers were laid off, how many days will it take the remaining w

Question 984793: In Ngomongo village a piece of work can be completed by 45 workers in 10 days .They work for 4 days after which 15 workers were laid off, how many days will it take the remaining workers to complete the work ?
Found 4 solutions by srinivas.g, macston, josmiceli, MathTherapy:
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
work done by all 45 workers in 1 day = 1/10 of work
work done 1 worker in 1 day = (1/10)(1/45) of work
=1/450 of work
after 4 days , 15 workers laid off
it means that 45 workers works for 4 days
work done by 45 workers for 4 days = 4*45 /450
= 4/10 of work
after 4 days , no of workers available = 45-15 =30
work remaining =1 -4/10
=6/10 of work
30 workers will finish the remaining work in = 30/(6/10)
= 50 days
solution : 50

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
The job requires (45 workers)(10 days)=450 worker-days
In 4 days: (45 workers)(4 days)=180 worker-days
Still needed{ 450 worker-days - 180 worker-days=270 worker days
There are (45-15) 30 workers left.
For 30 workers to complete 270 worker-days:
(270 worker-days)/(30 workers)=9 days
.
ANSWER: It will take 9 days to complete the work.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
A piece of work can be completed by 45 workers in 10 days
1 worker would take days to do the work
The rate of working for 1 worker is:
[ 1 job ] / [ 450 days ]
The fraction of the job that gets done in 4 days is:

-----------------------
That leaves as a
fraction of the job that is left
----------------------------
There are workers left
Let = days for the remaining work to be finished
[ rate ] = [ rate ]

The remaining workers will take 9 days
to complete the work
Hope I got it!

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

In Ngomongo village a piece of work can be completed by 45 workers in 10 days .They work for 4 days after which 15 workers were laid off, how many days will it take the remaining workers to complete the work ?

The remaining 30 (45 - 15) workers will do the remaining (1 - ) of work in days
RELATED QUESTIONS
A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work... (answered by richwmiller)
7) A, B, & C can do a piece of work in 10, 9, 15 days respectively. They started the work (answered by richwmiller)
Worker A can do a piece of work in 20 days. Workers A and B in 15 days. They work... (answered by richwmiller)
a work have to be complete in 10 days but 280 worker after 3 days work they complete only (answered by josgarithmetic,MathTherapy)
A certain piece of work can be completed by 40 worker in 40 days. if 5 works leave every... (answered by ankor@dixie-net.com)
1.'A' works twice as fast as 'B'. If both of them together take 6 days to complete the... (answered by josmiceli,vvnrichards)
16 workers can complete a piece of work in 30 days.After working for 10 days, 4 more... (answered by richwmiller,ikleyn)
In a factory , 10 workers were engaged to finish a piece of work in a certain number of... (answered by richwmiller)
A,B,C can finish a piece of work in 60 days. They work together for 10 days after which A (answered by htmentor)